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42547945472 = 213432532
BaseRepresentation
bin100111101000000011…
…100010000000000000
311001211020110120121022
4213220003202000000
51144114233223342
631313554045012
73034243366154
oct475003420000
9131736416538
1042547945472
111705422a1aa
1282b5279768
134020bcabc6
1420b8b3d064
1511905339d2
hex9e80e2000

42547945472 has 126 divisors (see below), whose sum is σ = 88790273397. Its totient is φ = 20387168256.

The previous prime is 42547945471. The next prime is 42547945493. The reversal of 42547945472 is 27454974524.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 40359202816 + 2188742656 = 200896^2 + 46784^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=145856.

It is a Harshad number since it is a multiple of its sum of digits (53).

Its product of digits (11289600) is a multiple of the sum of its prime divisors (98).

It is not an unprimeable number, because it can be changed into a prime (42547945471) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 802791398 + ... + 802791450.

Almost surely, 242547945472 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 42547945472

42547945472 is an abundant number, since it is smaller than the sum of its proper divisors (46242327925).

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

42547945472 is an frugal number, since it uses more digits than its factorization.

42547945472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 98 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 53.

The spelling of 42547945472 in words is "forty-two billion, five hundred forty-seven million, nine hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 43 53 64 86 106 128 172 212 256 344 424 512 688 848 1024 1376 1696 1849 2048 2279 2752 2809 3392 3698 4096 4558 5504 5618 6784 7396 8192 9116 11008 11236 13568 14792 18232 22016 22472 27136 29584 36464 44032 44944 54272 59168 72928 88064 89888 97997 108544 118336 120787 145856 176128 179776 195994 217088 236672 241574 291712 352256 359552 391988 434176 473344 483148 583424 719104 783976 946688 966296 1166848 1438208 1567952 1893376 1932592 2333696 2876416 3135904 3786752 3865184 4667392 5193841 5752832 6271808 7573504 7730368 9334784 10387682 11505664 12543616 15147008 15460736 18669568 20775364 23011328 25087232 30921472 41550728 50174464 61842944 83101456 100348928 123685888 166202912 200697856 247371776 332405824 401395712 494743552 664811648 802791424 989487104 1329623296 2659246592 5318493184 10636986368 21273972736 42547945472