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70991211432 = 23329293491709
BaseRepresentation
bin100001000011101100…
…1111110101110101000
320210020111111012100010
41002013121332232220
52130342222231212
652340220011520
75062141224621
oct1020731765650
9223214435303
1070991211432
112811a762979
1211912990ba0
1369048c84ab
143616516a48
151ca765803c
hex108767eba8

70991211432 has 128 divisors (see below), whose sum is σ = 184860144000. Its totient is φ = 22691343360.

The previous prime is 70991211427. The next prime is 70991211433. The reversal of 70991211432 is 23411219907.

It is a super-3 number, since 3×709912114323 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (70991211433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100128294 + ... + 100129002.

It is an arithmetic number, because the mean of its divisors is an integer number (1444219875).

Almost surely, 270991211432 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 70991211432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92430072000).

70991211432 is an abundant number, since it is smaller than the sum of its proper divisors (113868932568).

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

70991211432 is a wasteful number, since it uses less digits than its factorization.

70991211432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 70991211432 in words is "seventy billion, nine hundred ninety-one million, two hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 293 348 491 586 696 709 879 982 1172 1418 1473 1758 1964 2127 2344 2836 2946 3516 3928 4254 5672 5892 7032 8497 8508 11784 14239 16994 17016 20561 25491 28478 33988 41122 42717 50982 56956 61683 67976 82244 85434 101964 113912 123366 143863 164488 170868 203928 207737 246732 287726 341736 348119 415474 431589 493464 575452 623211 696238 830948 863178 1044357 1150904 1246422 1392476 1661896 1726356 2088714 2492844 2784952 3452712 4172027 4177428 4985688 6024373 8344054 8354856 10095451 12048746 12516081 16688108 18073119 20190902 24097492 25032162 30286353 33376216 36146238 40381804 48194984 50064324 60572706 72292476 80763608 100128648 101998867 121145412 144584952 203997734 242290824 305996601 407995468 611993202 815990936 1223986404 2447972808 2957967143 5915934286 8873901429 11831868572 17747802858 23663737144 35495605716 70991211432