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54537676480 = 2657201112107
BaseRepresentation
bin110010110010101100…
…101110011011000000
312012202211021000112201
4302302230232123000
51343143121121410
641015415402544
73640331413150
oct626254563300
9165684230481
1054537676480
1121147107601
12a6a0683454
1351b1ba85b1
1428d5246760
151642e2683a
hexcb2b2e6c0

54537676480 has 112 divisors (see below), whose sum is σ = 148506460416. Its totient is φ = 18687790080.

The previous prime is 54537676463. The next prime is 54537676481. The reversal of 54537676480 is 8467673545.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (54537676481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4498587 + ... + 4510693.

Almost surely, 254537676480 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 54537676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74253230208).

54537676480 is an abundant number, since it is smaller than the sum of its proper divisors (93968783936).

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

54537676480 is a wasteful number, since it uses less digits than its factorization.

54537676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14142 (or 14132 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 55.

The spelling of 54537676480 in words is "fifty-four billion, five hundred thirty-seven million, six hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2011 2240 4022 8044 10055 12107 14077 16088 20110 24214 28154 32176 40220 48428 56308 60535 64352 70385 80440 84749 96856 112616 121070 128704 140770 160880 169498 193712 225232 242140 281540 321760 338996 387424 423745 450464 484280 563080 643520 677992 774848 847490 900928 968560 1126160 1355984 1694980 1937120 2252320 2711968 3389960 3874240 4504640 5423936 6779920 13559840 24347177 27119680 48694354 97388708 121735885 170430239 194777416 243471770 340860478 389554832 486943540 681720956 779109664 852151195 973887080 1363441912 1558219328 1704302390 1947774160 2726883824 3408604780 3895548320 5453767648 6817209560 7791096640 10907535296 13634419120 27268838240 54537676480