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70007631288 = 233723162111177
BaseRepresentation
bin100000100110011000…
…1111010110110111000
320200200221201011000220
41001030301322312320
52121333423200123
652054442300040
75025566022210
oct1011461726670
9220627634026
1070007631288
1127765534621
12116994b7620
1367a8bb9cca
143561a41240
151c4b11bce3
hex104cc7adb8

70007631288 has 128 divisors (see below), whose sum is σ = 208865848320. Its totient is φ = 19119006720.

The previous prime is 70007631283. The next prime is 70007631293. The reversal of 70007631288 is 88213670007.

It is an interprime number because it is at equal distance from previous prime (70007631283) and next prime (70007631293).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70007631283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6257956 + ... + 6269132.

It is an arithmetic number, because the mean of its divisors is an integer number (1631764440).

Almost surely, 270007631288 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 70007631288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104432924160).

70007631288 is an abundant number, since it is smaller than the sum of its proper divisors (138858217032).

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

70007631288 is a wasteful number, since it uses less digits than its factorization.

70007631288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12837 (or 12833 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 70007631288 in words is "seventy billion, seven million, six hundred thirty-one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1621 1932 3242 3864 4863 6484 9726 11177 11347 12968 19452 22354 22694 33531 34041 37283 38904 44708 45388 67062 68082 74566 78239 89416 90776 111849 134124 136164 149132 156478 223698 234717 257071 260981 268248 272328 298264 312956 447396 469434 514142 521962 625912 771213 782943 894792 938868 1028284 1043924 1542426 1565886 1799497 1877736 2056568 2087848 3084852 3131772 3598994 5398491 6169704 6263544 7197988 10796982 14395976 18117917 21593964 36235834 43187928 54353751 72471668 108707502 126825419 144943336 217415004 253650838 380476257 416712091 434830008 507301676 760952514 833424182 1014603352 1250136273 1521905028 1666848364 2500272546 2916984637 3043810056 3333696728 5000545092 5833969274 8750953911 10001090184 11667938548 17501907822 23335877096 35003815644 70007631288