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54119658496 = 210534432251
BaseRepresentation
bin110010011001110010…
…000111010000000000
312011200200200111200011
4302121302013100000
51341314113032441
640510124034304
73624064335631
oct623162072000
9164620614604
1054119658496
1120a521554a2
12a5a4692994
1351463c8a87
142895911888
15161b3a4581
hexc99c87400

54119658496 has 88 divisors (see below), whose sum is σ = 110525619744. Its totient is φ = 26477568000.

The previous prime is 54119658409. The next prime is 54119658497. The reversal of 54119658496 is 69485691145.

It is a self number, because there is not a number n which added to its sum of digits gives 54119658496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54119658497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24041371 + ... + 24043621.

Almost surely, 254119658496 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 54119658496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55262809872).

54119658496 is an abundant number, since it is smaller than the sum of its proper divisors (56405961248).

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

54119658496 is a wasteful number, since it uses less digits than its factorization.

54119658496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2749 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 58.

The spelling of 54119658496 in words is "fifty-four billion, one hundred nineteen million, six hundred fifty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 443 512 848 886 1024 1696 1772 2251 3392 3544 4502 6784 7088 9004 13568 14176 18008 23479 27136 28352 36016 46958 54272 56704 72032 93916 113408 119303 144064 187832 226816 238606 288128 375664 453632 477212 576256 751328 954424 997193 1152512 1502656 1908848 1994386 2305024 3005312 3817696 3988772 6010624 7635392 7977544 12021248 15270784 15955088 24042496 30541568 31910176 52851229 61083136 63820352 105702458 122166272 127640704 211404916 255281408 422809832 510562816 845619664 1021125632 1691239328 3382478656 6764957312 13529914624 27059829248 54119658496