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48972011920 = 24513318318301
BaseRepresentation
bin101101100110111101…
…011001100110010000
311200101221110222002021
4231212331121212100
51300243313340140
634255240101224
73352400142646
oct554675314620
9150357428067
1048972011920
1119850473427
1295a8764814
134805ab3560
142527db9196
1514194d5b4a
hexb66f59990

48972011920 has 160 divisors (see below), whose sum is σ = 128105800704. Its totient is φ = 17286912000.

The previous prime is 48972011903. The next prime is 48972011971. The reversal of 48972011920 is 2911027984.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 2666770 + ... + 2685070.

Almost surely, 248972011920 is an apocalyptic number.

48972011920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48972011920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64052900352).

48972011920 is an abundant number, since it is smaller than the sum of its proper divisors (79133788784).

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

48972011920 is a wasteful number, since it uses less digits than its factorization.

48972011920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18441 (or 18435 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The spelling of 48972011920 in words is "forty-eight billion, nine hundred seventy-two million, eleven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 83 104 124 130 155 166 208 248 260 310 332 403 415 496 520 620 664 806 830 1040 1079 1240 1328 1612 1660 2015 2158 2480 2573 3224 3320 4030 4316 5146 5395 6448 6640 8060 8632 10292 10790 12865 16120 17264 18301 20584 21580 25730 32240 33449 36602 41168 43160 51460 66898 73204 86320 91505 102920 133796 146408 167245 183010 205840 237913 267592 292816 334490 366020 475826 535184 567331 668980 732040 951652 1134662 1189565 1337960 1464080 1518983 1903304 2269324 2379130 2675920 2836655 3037966 3806608 4538648 4758260 5673310 6075932 7375303 7594915 9077296 9516520 11346620 12151864 14750606 15189830 19033040 19746779 22693240 24303728 29501212 30379660 36876515 39493558 45386480 47088473 59002424 60759320 73753030 78987116 94176946 98733895 118004848 121518640 147506060 157974232 188353892 197467790 235442365 295012120 315948464 376707784 394935580 470884730 590024240 612150149 753415568 789871160 941769460 1224300298 1579742320 1883538920 2448600596 3060750745 3767077840 4897201192 6121501490 9794402384 12243002980 24486005960 48972011920