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70148182272 = 283743929723
BaseRepresentation
bin100000101010100101…
…0000101000100000000
320201001202011212201220
41001111022011010000
52122130413313042
652120422555040
75032223465640
oct1012512050400
9221052155656
1070148182272
1127827902663
1211718598a80
1367cc05b07c
14357658a520
151c586318ec
hex1055285100

70148182272 has 144 divisors (see below), whose sum is σ = 213860613120. Its totient is φ = 19996010496.

The previous prime is 70148182151. The next prime is 70148182283. The reversal of 70148182272 is 27228184107.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2345203 + ... + 2374925.

Almost surely, 270148182272 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 70148182272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106930306560).

70148182272 is an abundant number, since it is smaller than the sum of its proper divisors (143712430848).

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

70148182272 is a wasteful number, since it uses less digits than its factorization.

70148182272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30188 (or 30174 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The spelling of 70148182272 in words is "seventy billion, one hundred forty-eight million, one hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 439 448 672 768 878 896 1317 1344 1756 1792 2634 2688 3073 3512 5268 5376 6146 7024 9219 10536 12292 14048 18438 21072 24584 28096 29723 36876 42144 49168 56192 59446 73752 84288 89169 98336 112384 118892 147504 168576 178338 196672 208061 237784 295008 337152 356676 393344 416122 475568 590016 624183 713352 786688 832244 951136 1180032 1248366 1426704 1664488 1902272 2360064 2496732 2853408 3328976 3804544 4993464 5706816 6657952 7609088 9986928 11413632 13048397 13315904 19973856 22827264 26096794 26631808 39145191 39947712 52193588 53263616 78290382 79895424 91338779 104387176 156580764 159790848 182677558 208774352 274016337 313161528 365355116 417548704 548032674 626323056 730710232 835097408 1096065348 1252646112 1461420464 1670194816 2192130696 2505292224 2922840928 3340389632 4384261392 5010584448 5845681856 8768522784 10021168896 11691363712 17537045568 23382727424 35074091136 70148182272