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58416468304 = 2423299756431
BaseRepresentation
bin110110011001111001…
…001001000101010000
312120210010220001122011
4312121321021011100
51424114103441204
642500335352304
74135420534135
oct663171110520
9176703801564
1058416468304
1122857634287
12b3a3682694
13567c66c19c
142b8244858c
1517bd708304
hexd99e49150

58416468304 has 80 divisors (see below), whose sum is σ = 123437099520. Its totient is φ = 26696355840.

The previous prime is 58416468241. The next prime is 58416468343. The reversal of 58416468304 is 40386461485.

It is a super-2 number, since 2×584164683042 (a number of 22 digits) contains 22 as substring.

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, 1006969 + ... + 1063399.

It is an arithmetic number, because the mean of its divisors is an integer number (1542963744).

Almost surely, 258416468304 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 58416468304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61718549760).

58416468304 is an abundant number, since it is smaller than the sum of its proper divisors (65020631216).

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

58416468304 is a wasteful number, since it uses less digits than its factorization.

58416468304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56588 (or 56582 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

The spelling of 58416468304 in words is "fifty-eight billion, four hundred sixteen million, four hundred sixty-eight thousand, three hundred four".

Divisors: 1 2 4 8 16 23 29 46 58 92 97 116 184 194 232 368 388 464 667 776 1334 1552 2231 2668 2813 4462 5336 5626 8924 10672 11252 17848 22504 35696 45008 56431 64699 112862 129398 225724 258796 451448 517592 902896 1035184 1297913 1636499 2595826 3272998 5191652 5473807 6545996 10383304 10947614 13091992 20766608 21895228 26183984 37639477 43790456 75278954 87580912 125897561 150557908 158740403 251795122 301115816 317480806 503590244 602231632 634961612 1007180488 1269923224 2014360976 2539846448 3651029269 7302058538 14604117076 29208234152 58416468304