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390982573696 = 271113109319543
BaseRepresentation
bin1011011000010000110…
…00001001111010000000
31101101012020200122120211
411230020120021322000
522401213014324241
6455340453243504
740150625020261
oct5541030117200
91341166618524
10390982573696
111408a6519570
1263937333594
132ab3c399230
1414cd0732968
15a284e28781
hex5b08609e80

390982573696 has 128 divisors (see below), whose sum is σ = 915967866240. Its totient is φ = 163890155520.

The previous prime is 390982573693. The next prime is 390982573753. The reversal of 390982573696 is 696375289093.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3909825736962 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (390982573693) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19996501 + ... + 20016043.

It is an arithmetic number, because the mean of its divisors is an integer number (7155998955).

Almost surely, 2390982573696 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 390982573696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457983933120).

390982573696 is an abundant number, since it is smaller than the sum of its proper divisors (524985292544).

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

390982573696 is a wasteful number, since it uses less digits than its factorization.

390982573696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20674 (or 20662 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 67.

The spelling of 390982573696 in words is "three hundred ninety billion, nine hundred eighty-two million, five hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 352 416 572 704 832 1093 1144 1408 1664 2186 2288 4372 4576 8744 9152 12023 14209 17488 18304 19543 24046 28418 34976 39086 48092 56836 69952 78172 96184 113672 139904 156299 156344 192368 214973 227344 254059 312598 312688 384736 429946 454688 508118 625196 625376 769472 859892 909376 1016236 1250392 1250752 1538944 1719784 1818752 2032472 2500784 2501504 2794649 3439568 4064944 5001568 5589298 6879136 8129888 10003136 11178596 13758272 16259776 20006272 21360499 22357192 27516544 32519552 42720998 44714384 85441996 89428768 170883992 178857536 234965489 277686487 341767984 357715072 469930978 555372974 683535968 939861956 1110745948 1367071936 1879723912 2221491896 2734143872 3054551357 3759447824 4442983792 6109102714 7518895648 8885967584 12218205428 15037791296 17771935168 24436410856 30075582592 35543870336 48872821712 97745643424 195491286848 390982573696