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70545612384 = 253213163115597
BaseRepresentation
bin100000110110011011…
…0001001111001100000
320202002110000102100200
41001230312021321200
52123434134044014
652224101145200
75045120545212
oct1015466117140
9222073012320
1070545612384
1127a111827a5
12118096bb200
1368634aca10
1435b32825b2
151c7d488a09
hex106cd89e60

70545612384 has 144 divisors (see below), whose sum is σ = 217373253552. Its totient is φ = 21572987904.

The previous prime is 70545612383. The next prime is 70545612409. The reversal of 70545612384 is 48321654507.

70545612384 is a `hidden beast` number, since 7 + 0 + 5 + 4 + 561 + 2 + 3 + 84 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70545612383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552474 + ... + 668070.

It is an arithmetic number, because the mean of its divisors is an integer number (1509536483).

Almost surely, 270545612384 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 70545612384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108686626776).

70545612384 is an abundant number, since it is smaller than the sum of its proper divisors (146827641168).

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

70545612384 is a wasteful number, since it uses less digits than its factorization.

70545612384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115789 (or 115778 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 70545612384 in words is "seventy billion, five hundred forty-five million, six hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 163 208 234 288 312 326 416 468 489 624 652 936 978 1248 1304 1467 1872 1956 2119 2608 2934 3744 3912 4238 5216 5868 6357 7824 8476 11736 12714 15648 16952 19071 23472 25428 33904 38142 46944 50856 67808 76284 101712 115597 152568 203424 231194 305136 346791 462388 610272 693582 924776 1040373 1387164 1502761 1849552 2080746 2774328 3005522 3699104 4161492 4508283 5548656 6011044 8322984 9016566 11097312 12022088 13524849 16645968 18033132 18842311 24044176 27049698 33291936 36066264 37684622 48088352 54099396 56526933 72132528 75369244 108198792 113053866 144265056 150738488 169580799 216397584 226107732 244950043 301476976 339161598 432795168 452215464 489900086 602953952 678323196 734850129 904430928 979800172 1356646392 1469700258 1808861856 1959600344 2204550387 2713292784 2939400516 3919200688 4409100774 5426585568 5878801032 7838401376 8818201548 11757602064 17636403096 23515204128 35272806192 70545612384