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1387456227264 = 26317428999109
BaseRepresentation
bin10100001100001010110…
…101011110011111000000
311220122021012200010011110
4110030022311132133000
5140213002243233024
62541215534043320
7202145313226032
oct24141265363700
94818235603143
101387456227264
11495464962168
121a4a94349540
13a0ab4c02443
144b2206bdc52
1526156ccb629
hex1430ad5e7c0

1387456227264 has 112 divisors (see below), whose sum is σ = 3887863293600. Its totient is φ = 435174506496.

The previous prime is 1387456227257. The next prime is 1387456227293. The reversal of 1387456227264 is 4627226547831.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13949742 + ... + 14048850.

Almost surely, 21387456227264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387456227264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943931646800).

1387456227264 is an abundant number, since it is smaller than the sum of its proper divisors (2500407066336).

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

1387456227264 is a wasteful number, since it uses less digits than its factorization.

1387456227264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103430 (or 103420 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 57.

The spelling of 1387456227264 in words is "one trillion, three hundred eighty-seven billion, four hundred fifty-six million, two hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 4289 8578 12867 17156 25734 34312 51468 68624 72913 99109 102936 137248 145826 198218 205872 218739 274496 291652 297327 396436 411744 437478 583304 594654 792872 823488 874956 1166608 1189308 1585744 1684853 1749912 2333216 2378616 3171488 3369706 3499824 4666432 4757232 5054559 6342976 6739412 6999648 9514464 10109118 13478824 13999296 19028928 20218236 26957648 40436472 53915296 80872944 107830592 161745888 323491776 425078501 850157002 1275235503 1700314004 2550471006 3400628008 5100942012 6801256016 7226334517 10201884024 13602512032 14452669034 20403768048 21679003551 27205024064 28905338068 40807536096 43358007102 57810676136 81615072192 86716014204 115621352272 173432028408 231242704544 346864056816 462485409088 693728113632 1387456227264