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150020383704816 = 243149853122320107
BaseRepresentation
bin100010000111000101010111…
…101011100000011011110000
3201200011210211111000021201210
4202013011113223200123300
5124130413221212023231
61251022225101400120
743412420650323252
oct4207052753403360
9650153744007653
10150020383704816
114388a31863a3a9
12149aab56b69040
136592b2789b101
14290904d663cd2
151252593be0a46
hex887157ae06f0

150020383704816 has 160 divisors (see below), whose sum is σ = 390949902604800. Its totient is φ = 49569915313152.

The previous prime is 150020383704799. The next prime is 150020383704817. The reversal of 150020383704816 is 618407383020051.

It is a super-4 number, since 4×1500203837048164 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150020383704817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7461092235 + ... + 7461112341.

It is an arithmetic number, because the mean of its divisors is an integer number (2443436891280).

Almost surely, 2150020383704816 is an apocalyptic number.

150020383704816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

150020383704816 is an abundant number, since it is smaller than the sum of its proper divisors (240929518899984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150020383704816 is a wasteful number, since it uses less digits than its factorization.

150020383704816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22343 (or 22337 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 150020383704816 in words is "one hundred fifty trillion, twenty billion, three hundred eighty-three million, seven hundred four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 149 298 447 596 853 894 1192 1223 1706 1788 2384 2446 2559 3412 3576 3669 4892 5118 6824 7152 7338 9784 10236 13648 14676 19568 20107 20472 29352 40214 40944 58704 60321 80428 120642 127097 160856 182227 241284 254194 321712 364454 381291 482568 508388 546681 728908 762582 965136 1016776 1043219 1093362 1457816 1525164 2033552 2086438 2186724 2915632 2995943 3050328 3129657 4172876 4373448 5991886 6100656 6259314 8345752 8746896 8987829 11983772 12518628 16691504 17151271 17975658 23967544 24590861 25037256 34302542 35951316 47935088 49181722 50074512 51453813 68605084 71902632 73772583 98363444 102907626 137210168 143805264 147545166 155439631 196726888 205815252 274420336 295090332 310879262 393453776 411630504 466318893 590180664 621758524 823261008 932637786 1180361328 1243517048 1865275572 2487034096 2555539379 3664038289 3730551144 5111078758 7328076578 7461102288 7666618137 10222157516 10992114867 14656153156 15333236274 20444315032 20976004433 21984229734 29312306312 30666472548 40888630064 41952008866 43968459468 58624612624 61332945096 62928013299 83904017732 87936918936 122665890192 125856026598 167808035464 175873837872 251712053196 335616070928 503424106392 1006848212784 3125424660517 6250849321034 9376273981551 12501698642068 18752547963102 25003397284136 37505095926204 50006794568272 75010191852408 150020383704816