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58402121472 = 283322433767
BaseRepresentation
bin110110011001000010…
…011010011100000000
312120202010220011111000
4312121002122130000
51424101420341342
642455104052000
74135154561502
oct663102323400
9176663804430
1058402121472
112284a5252a2
12b39a904000
1356796b7c36
142b80591d72
1517bc32244c
hexd9909a700

58402121472 has 144 divisors (see below), whose sum is σ = 172828212480. Its totient is φ = 19453529088.

The previous prime is 58402121471. The next prime is 58402121497. The reversal of 58402121472 is 27412120485.

58402121472 is a `hidden beast` number, since 584 + 0 + 2 + 1 + 2 + 1 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58402121471) 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, 15501733 + ... + 15505499.

It is an arithmetic number, because the mean of its divisors is an integer number (1200195920).

Almost surely, 258402121472 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 58402121472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86414106240).

58402121472 is an abundant number, since it is smaller than the sum of its proper divisors (114426091008).

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

58402121472 is a wasteful number, since it uses less digits than its factorization.

58402121472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6035 (or 6015 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 58402121472 in words is "fifty-eight billion, four hundred two million, one hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2243 2304 3456 3767 4486 6729 6912 7534 8972 11301 13458 15068 17944 20187 22602 26916 30136 33903 35888 40374 45204 53832 60272 60561 67806 71776 80748 90408 101709 107664 120544 121122 135612 143552 161496 180816 203418 215328 241088 242244 271224 287104 322992 361632 406836 430656 482176 484488 542448 574208 645984 723264 813672 861312 964352 968976 1084896 1291968 1446528 1627344 1722624 1937952 2169792 2583936 2893056 3254688 3875904 4339584 5167872 6509376 7751808 8449381 8679168 13018752 15503616 16898762 25348143 26037504 33797524 50696286 67595048 76044429 101392572 135190096 152088858 202785144 228133287 270380192 304177716 405570288 456266574 540760384 608355432 811140576 912533148 1081520768 1216710864 1622281152 1825066296 2163041536 2433421728 3244562304 3650132592 4866843456 6489124608 7300265184 9733686912 14600530368 19467373824 29201060736 58402121472