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70682552928 = 25321374325409
BaseRepresentation
bin100000111010100000…
…0100010101001100000
320202102222200201110200
41001311000202221200
52124224213143203
652245432225200
75051402533611
oct1016500425140
9222388621420
1070682552928
1127a815051a9
121184753b200
136885988620
1435c752bc08
151c8a4d89a3
hex1075022a60

70682552928 has 144 divisors (see below), whose sum is σ = 216765188640. Its totient is φ = 21718351872.

The previous prime is 70682552903. The next prime is 70682552947. The reversal of 70682552928 is 82925528607.

It is a happy number.

70682552928 is a `hidden beast` number, since 7 + 0 + 6 + 82 + 552 + 9 + 2 + 8 = 666.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 2769088 + ... + 2794496.

It is an arithmetic number, because the mean of its divisors is an integer number (1505313810).

Almost surely, 270682552928 is an apocalyptic number.

70682552928 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70682552928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108382594320).

70682552928 is an abundant number, since it is smaller than the sum of its proper divisors (146082635712).

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

70682552928 is a wasteful number, since it uses less digits than its factorization.

70682552928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26181 (or 26170 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 70682552928 in words is "seventy billion, six hundred eighty-two million, five hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 743 936 1248 1486 1872 2229 2972 3744 4458 5944 6687 8916 9659 11888 13374 17832 19318 23776 25409 26748 28977 35664 38636 50818 53496 57954 71328 76227 77272 86931 101636 106992 115908 152454 154544 173862 203272 213984 228681 231816 304908 309088 330317 347724 406544 457362 463632 609816 660634 695448 813088 914724 927264 990951 1219632 1321268 1390896 1829448 1981902 2439264 2642536 2781792 2972853 3658896 3963804 5285072 5945706 7317792 7927608 10570144 11891412 15855216 18878887 23782824 31710432 37757774 47565648 56636661 75515548 95131296 113273322 151031096 169909983 226546644 245425531 302062192 339819966 453093288 490851062 604124384 679639932 736276593 906186576 981702124 1359279864 1472553186 1812373152 1963404248 2208829779 2718559728 2945106372 3926808496 4417659558 5437119456 5890212744 7853616992 8835319116 11780425488 17670638232 23560850976 35341276464 70682552928