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3448640627058 = 23113771111717807
BaseRepresentation
bin110010001011110010111…
…111111110000101110010
3110012200112200202111221210
4302023302333332011302
5423000304000031213
611200141133100550
7504104346444324
oct62136277760562
913180480674853
103448640627058
11110a618801110
12478452927756
131c02893b5573
14bccb5051614
155ea914b50c3
hex322f2ffe172

3448640627058 has 128 divisors (see below), whose sum is σ = 7843962986496. Its totient is φ = 1001523398400.

The previous prime is 3448640627023. The next prime is 3448640627063. The reversal of 3448640627058 is 8507260468443.

It is a junction number, because it is equal to n+sod(n) for n = 3448640626989 and 3448640627007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193658791 + ... + 193676597.

It is an arithmetic number, because the mean of its divisors is an integer number (61280960832).

Almost surely, 23448640627058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3448640627058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921981493248).

3448640627058 is an abundant number, since it is smaller than the sum of its proper divisors (4395322359438).

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

3448640627058 is a wasteful number, since it uses less digits than its factorization.

3448640627058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19048.

The product of its (nonzero) digits is 30965760, while the sum is 57.

The spelling of 3448640627058 in words is "three trillion, four hundred forty-eight billion, six hundred forty million, six hundred twenty-seven thousand, fifty-eight".

Divisors: 1 2 3 6 11 22 33 37 66 71 74 111 142 213 222 407 426 781 814 1117 1221 1562 2234 2343 2442 2627 3351 4686 5254 6702 7881 12287 15762 17807 24574 28897 35614 36861 41329 53421 57794 73722 79307 82658 86691 106842 123987 158614 173382 195877 237921 247974 391754 454619 475842 587631 658859 872377 909238 1175262 1264297 1317718 1363857 1744754 1976577 2528594 2617131 2727714 2934359 3792891 3953154 5234262 5868718 7247449 7585782 8803077 13907267 14494898 17606154 19890419 21742347 27814534 32277949 39780838 41721801 43484694 46778989 59671257 64555898 83443602 93557978 96833847 119342514 140336967 193667694 218794609 280673934 437589218 514568879 656383827 735945503 1029137758 1312767654 1412219749 1471891006 1543706637 2207836509 2824439498 3087413274 4236659247 4415673018 8095400533 8473318494 15534417239 16190801066 24286201599 31068834478 46603251717 48572403198 52252130713 93206503434 104504261426 156756392139 313512784278 574773437843 1149546875686 1724320313529 3448640627058