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54980726528 = 2871317138829
BaseRepresentation
bin110011001101000110…
…110100111100000000
312020220200221021221202
4303031012310330000
51400100031222103
641131403440332
73654321315230
oct631506647400
9166820837852
1054980726528
1121354206672
12a7a4b260a8
135252910aa0
142938015cc0
15166bc90988
hexccd1b4f00

54980726528 has 144 divisors (see below), whose sum is σ = 143019334080. Its totient is φ = 20471021568.

The previous prime is 54980726473. The next prime is 54980726617. The reversal of 54980726528 is 82562708945.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326618 + ... + 465446.

It is an arithmetic number, because the mean of its divisors is an integer number (993189820).

Almost surely, 254980726528 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 54980726528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71509667040).

54980726528 is an abundant number, since it is smaller than the sum of its proper divisors (88038607552).

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

54980726528 is a wasteful number, since it uses less digits than its factorization.

54980726528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138882 (or 138868 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 56.

The spelling of 54980726528 in words is "fifty-four billion, nine hundred eighty million, seven hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 182 208 221 224 238 256 272 364 416 442 448 476 544 728 832 884 896 952 1088 1456 1547 1664 1768 1792 1904 2176 2912 3094 3328 3536 3808 4352 5824 6188 7072 7616 11648 12376 14144 15232 23296 24752 28288 30464 49504 56576 99008 138829 198016 277658 396032 555316 971803 1110632 1804777 1943606 2221264 2360093 3609554 3887212 4442528 4720186 7219108 7774424 8885056 9440372 12633439 14438216 15548848 16520651 17770112 18880744 25266878 28876432 30681209 31097696 33041302 35540224 37761488 50533756 57752864 61362418 62195392 66082604 75522976 101067512 115505728 122724836 124390784 132165208 151045952 202135024 214768463 231011456 245449672 248781568 264330416 302091904 404270048 429536926 462022912 490899344 528660832 604183808 808540096 859073852 981798688 1057321664 1617080192 1718147704 1963597376 2114643328 3234160384 3436295408 3927194752 4229286656 6872590816 7854389504 13745181632 27490363264 54980726528