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53477928144 = 24326713939877
BaseRepresentation
bin110001110011100010…
…000110110011010000
312010000222011020010100
4301303202012303100
51334010322200034
640322321332400
73602142613644
oct616342066320
9163028136110
1053477928144
1120752994a33
12a445797100
13507347bb84
1428345c4c24
1515ced92099
hexc73886cd0

53477928144 has 120 divisors (see below), whose sum is σ = 152994339680. Its totient is φ = 17433149184.

The previous prime is 53477928089. The next prime is 53477928263. The reversal of 53477928144 is 44182977435.

53477928144 is a `hidden beast` number, since 5 + 3 + 477 + 9 + 28 + 144 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1321134 + ... + 1361010.

Almost surely, 253477928144 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 53477928144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76497169840).

53477928144 is an abundant number, since it is smaller than the sum of its proper divisors (99516411536).

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

53477928144 is a wasteful number, since it uses less digits than its factorization.

53477928144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40097 (or 40088 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 53477928144 in words is "fifty-three billion, four hundred seventy-seven million, nine hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 139 144 201 268 278 402 417 536 556 603 804 834 1072 1112 1206 1251 1608 1668 2224 2412 2502 3216 3336 4824 5004 6672 9313 9648 10008 18626 20016 27939 37252 39877 55878 74504 79754 83817 111756 119631 149008 159508 167634 223512 239262 319016 335268 358893 447024 478524 638032 670536 717786 957048 1341072 1435572 1914096 2671759 2871144 5343518 5542903 5742288 8015277 10687036 11085806 16030554 16628709 21374072 22171612 24045831 32061108 33257418 42748144 44343224 48091662 49886127 64122216 66514836 88686448 96183324 99772254 128244432 133029672 192366648 199544508 266059344 371374501 384733296 399089016 742749002 798178032 1114123503 1485498004 2228247006 2970996008 3342370509 4456494012 5941992016 6684741018 8912988024 13369482036 17825976048 26738964072 53477928144