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70314345528 = 23371274397507
BaseRepresentation
bin100000101111100001…
…1111100010000111000
320201111022211211212120
41001133003330100320
52123000433024103
652145120241240
75036312034630
oct1013703742070
9221438754776
1070314345528
1127902684569
1211764170220
1368275c8c1b
1435906816c0
151c68005253
hex105f0fc438

70314345528 has 128 divisors (see below), whose sum is σ = 202968268800. Its totient is φ = 19883574144.

The previous prime is 70314345509. The next prime is 70314345533. The reversal of 70314345528 is 82554341307.

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

It is a self number, because there is not a number n which added to its sum of digits gives 70314345528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9362751 + ... + 9370257.

It is an arithmetic number, because the mean of its divisors is an integer number (1585689600).

Almost surely, 270314345528 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 70314345528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101484134400).

70314345528 is an abundant number, since it is smaller than the sum of its proper divisors (132653923272).

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

70314345528 is a wasteful number, since it uses less digits than its factorization.

70314345528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8089 (or 8085 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 70314345528 in words is "seventy billion, three hundred fourteen million, three hundred forty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 439 508 762 878 889 1016 1317 1524 1756 1778 2634 2667 3048 3073 3512 3556 5268 5334 6146 7112 7507 9219 10536 10668 12292 15014 18438 21336 22521 24584 30028 36876 45042 52549 55753 60056 73752 90084 105098 111506 157647 167259 180168 210196 223012 315294 334518 390271 420392 446024 630588 669036 780542 953389 1170813 1261176 1338072 1561084 1906778 2341626 2860167 3122168 3295573 3813556 4683252 5720334 6591146 6673723 7627112 9366504 9886719 11440668 13182292 13347446 19773438 20021169 22881336 23069011 26364584 26694892 39546876 40042338 46138022 53389784 69207033 79093752 80084676 92276044 138414066 160169352 184552088 276828132 418537771 553656264 837075542 1255613313 1674151084 2511226626 2929764397 3348302168 5022453252 5859528794 8789293191 10044906504 11719057588 17578586382 23438115176 35157172764 70314345528