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5601142372 = 2272312131227
BaseRepresentation
bin1010011011101101…
…01010011001100100
3112110100112111212111
411031312222121210
542432343023442
62323443530404
7255541632100
oct51566523144
915410474774
105601142372
112414776191
121103989a04
136b3567437
143b1c64900
1522baecb17
hex14ddaa664

5601142372 has 108 divisors (see below), whose sum is σ = 11924245872. Its totient is φ = 2295165600.

The previous prime is 5601142363. The next prime is 5601142409. The reversal of 5601142372 is 2732411065.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24674523 + ... + 24674749.

It is an arithmetic number, because the mean of its divisors is an integer number (110409684).

Almost surely, 25601142372 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 5601142372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962122936).

5601142372 is an abundant number, since it is smaller than the sum of its proper divisors (6323103500).

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

5601142372 is a wasteful number, since it uses less digits than its factorization.

5601142372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 5601142372 is about 74840.7801402417. The cubic root of 5601142372 is about 1775.9287472598.

The spelling of 5601142372 in words is "five billion, six hundred one million, one hundred forty-two thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 131 196 217 227 262 434 454 524 868 908 917 961 1519 1589 1834 1922 3038 3178 3668 3844 4061 6076 6356 6419 6727 7037 8122 11123 12838 13454 14074 16244 22246 25676 26908 28148 28427 29737 44492 47089 49259 56854 59474 94178 98518 113708 118948 125891 188356 197036 198989 208159 218147 251782 344813 397978 416318 436294 503564 689626 795956 832636 872588 881237 921847 1379252 1457113 1527029 1762474 1843694 2914226 3054058 3524948 3687388 5828452 6108116 6168659 6452929 10689203 12337318 12905858 21378406 24674636 25811716 28577257 42756812 45170503 57154514 90341006 114309028 180682012 200040799 400081598 800163196 1400285593 2800571186 5601142372