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54123513152 = 262340989899
BaseRepresentation
bin110010011010000000…
…110100010101000000
312011200221221100021012
4302122000310111000
51341321104410102
640510342420052
73624142161662
oct623200642500
9164627840235
1054123513152
1120a54348565
12a5a5a31628
135147148437
142896236532
15161b8b6752
hexc9a034540

54123513152 has 56 divisors (see below), whose sum is σ = 112346232000. Its totient is φ = 25821582336.

The previous prime is 54123513137. The next prime is 54123513193. The reversal of 54123513152 is 25131532145.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 557099 + ... + 646997.

Almost surely, 254123513152 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 54123513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56173116000).

54123513152 is an abundant number, since it is smaller than the sum of its proper divisors (58222718848).

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

54123513152 is a wasteful number, since it uses less digits than its factorization.

54123513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90343 (or 90333 counting only the distinct ones).

The product of its digits is 18000, while the sum is 32.

The spelling of 54123513152 in words is "fifty-four billion, one hundred twenty-three million, five hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 409 736 818 1472 1636 3272 6544 9407 13088 18814 26176 37628 75256 89899 150512 179798 301024 359596 602048 719192 1438384 2067677 2876768 4135354 5753536 8270708 16541416 33082832 36768691 66165664 73537382 132331328 147074764 294149528 588299056 845679893 1176598112 1691359786 2353196224 3382719572 6765439144 13530878288 27061756576 54123513152