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54088695168 = 2737110718541
BaseRepresentation
bin110010010111111011…
…111111110110000000
312011121112102101222020
4302113323333312000
51341233201221133
640503100241440
73623240215554
oct622773776600
9164545371866
1054088695168
1120a36727272
12a596240280
13513cb77491
142891771864
1516187da0b3
hexc97effd80

54088695168 has 128 divisors (see below), whose sum is σ = 147066243840. Its totient is φ = 17608550400.

The previous prime is 54088695161. The next prime is 54088695179. The reversal of 54088695168 is 86159688045.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54088695161) 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, 2907978 + ... + 2926518.

It is an arithmetic number, because the mean of its divisors is an integer number (1148955030).

Almost surely, 254088695168 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 54088695168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73533121920).

54088695168 is an abundant number, since it is smaller than the sum of its proper divisors (92977548672).

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

54088695168 is a wasteful number, since it uses less digits than its factorization.

54088695168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18736 (or 18724 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 60.

The spelling of 54088695168 in words is "fifty-four billion, eighty-eight million, six hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 107 128 142 192 213 214 284 321 384 426 428 568 642 852 856 1136 1284 1704 1712 2272 2568 3408 3424 4544 5136 6816 6848 7597 9088 10272 13632 13696 15194 18541 20544 22791 27264 30388 37082 41088 45582 55623 60776 74164 91164 111246 121552 148328 182328 222492 243104 296656 364656 444984 486208 593312 729312 889968 972416 1186624 1316411 1458624 1779936 1983887 2373248 2632822 2917248 3559872 3949233 3967774 5265644 5951661 7119744 7898466 7935548 10531288 11903322 15796932 15871096 21062576 23806644 31593864 31742192 42125152 47613288 63187728 63484384 84250304 95226576 126375456 126968768 140855977 168500608 190453152 252750912 253937536 281711954 380906304 422567931 505501824 563423908 761812608 845135862 1126847816 1690271724 2253695632 3380543448 4507391264 6761086896 9014782528 13522173792 18029565056 27044347584 54088695168