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4537912104192 = 283191372269973
BaseRepresentation
bin100001000001001000010…
…1000111001010100000000
3121001211010220012212001210
41002002100220321110000
51043322120444313232
613352404341130120
7645565456311465
oct102022050712400
917054126185053
104537912104192
11149a577097085
126135896b9940
1326bc0058844c
141198c971566c
157d09514e5cc
hex42090a39500

4537912104192 has 144 divisors (see below), whose sum is σ = 12805922122560. Its totient is φ = 1422564212736.

The previous prime is 4537912104169. The next prime is 4537912104197. The reversal of 4537912104192 is 2914012197354.

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 (4537912104197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864118 + ... + 3134090.

It is an arithmetic number, because the mean of its divisors is an integer number (88930014740).

Almost surely, 24537912104192 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 4537912104192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402961061280).

4537912104192 is an abundant number, since it is smaller than the sum of its proper divisors (8268010018368).

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

4537912104192 is a wasteful number, since it uses less digits than its factorization.

4537912104192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270148 (or 2270134 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 4537912104192 in words is "four trillion, five hundred thirty-seven billion, nine hundred twelve million, one hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 137 152 192 228 256 274 304 384 411 456 548 608 768 822 912 1096 1216 1644 1824 2192 2432 2603 3288 3648 4384 4864 5206 6576 7296 7809 8768 10412 13152 14592 15618 17536 20824 26304 31236 35072 41648 52608 62472 83296 105216 124944 166592 249888 333184 499776 666368 999552 1999104 2269973 4539946 6809919 9079892 13619838 18159784 27239676 36319568 43129487 54479352 72639136 86258974 108958704 129388461 145278272 172517948 217917408 258776922 290556544 310986301 345035896 435834816 517553844 581113088 621972602 690071792 871669632 932958903 1035107688 1243945204 1380143584 1743339264 1865917806 2070215376 2487890408 2760287168 3731835612 4140430752 4975780816 5520574336 5908739719 7463671224 8280861504 9951561632 11041148672 11817479438 14927342448 16561723008 17726219157 19903123264 23634958876 29854684896 33123446016 35452438314 39806246528 47269917752 59709369792 70904876628 79612493056 94539835504 119418739584 141809753256 189079671008 238837479168 283619506512 378159342016 567239013024 756318684032 1134478026048 1512637368064 2268956052096 4537912104192