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4021237687656 = 2337199291356067
BaseRepresentation
bin111010100001000100011…
…100011010010101101000
3112020102111222011000110110
4322201010130122111220
51011340443322001111
612315155303214320
7563345006242620
oct72410434322550
915212458130413
104021237687656
111310440928752
1254b4144473a0
1323227ca31a17
14dc8b3b65880
156e9057085a6
hex3a84471a568

4021237687656 has 128 divisors (see below), whose sum is σ = 12106975104000. Its totient is φ = 1087282870272.

The previous prime is 4021237687601. The next prime is 4021237687673. The reversal of 4021237687656 is 6567867321204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 4021237687596 and 4021237687605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2287335 + ... + 3643401.

It is an arithmetic number, because the mean of its divisors is an integer number (94585743000).

Almost surely, 24021237687656 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 4021237687656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053487552000).

4021237687656 is an abundant number, since it is smaller than the sum of its proper divisors (8085737416344).

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

4021237687656 is a wasteful number, since it uses less digits than its factorization.

4021237687656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357031 (or 1357027 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 4021237687656 in words is "four trillion, twenty-one billion, two hundred thirty-seven million, six hundred eighty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 929 1064 1596 1858 2787 3192 3716 5574 6503 7432 11148 13006 17651 19509 22296 26012 35302 39018 52024 52953 70604 78036 105906 123557 141208 156072 211812 247114 370671 423624 494228 741342 988456 1356067 1482684 2712134 2965368 4068201 5424268 8136402 9492469 10848536 16272804 18984938 25765273 28477407 32545608 37969876 51530546 56954814 75939752 77295819 103061092 113909628 154591638 180356911 206122184 227819256 309183276 360713822 541070733 618366552 721427644 1082141466 1259786243 1442855288 2164282932 2519572486 3779358729 4328565864 5039144972 7558717458 8818503701 10078289944 15117434916 17637007402 23935938617 26455511103 30234869832 35274014804 47871877234 52911022206 70548029608 71807815851 95743754468 105822044412 143615631702 167551570319 191487508936 211644088824 287231263404 335103140638 502654710957 574462526808 670206281276 1005309421914 1340412562552 2010618843828 4021237687656