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235145066156 = 2271113241110183
BaseRepresentation
bin1101101011111110111…
…1001111011010101100
3211110221122221000210022
43122333233033122230
512323034114104111
6300005114501312
722663054040510
oct3327757173254
9743848830708
10235145066156
11907a7294620
12396a5734838
1319235605100
14b549990140
1561b3b0c2db
hex36bfbcf6ac

235145066156 has 144 divisors (see below), whose sum is σ = 569099478528. Its totient is φ = 82504281600.

The previous prime is 235145066137. The next prime is 235145066161. The reversal of 235145066156 is 651660541532.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2079041 + ... + 2189223.

It is an arithmetic number, because the mean of its divisors is an integer number (3952079712).

Almost surely, 2235145066156 is an apocalyptic number.

235145066156 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235145066156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284549739264).

235145066156 is an abundant number, since it is smaller than the sum of its proper divisors (333954412372).

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

235145066156 is a wasteful number, since it uses less digits than its factorization.

235145066156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110272 (or 110257 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 235145066156 in words is "two hundred thirty-five billion, one hundred forty-five million, sixty-six thousand, one hundred fifty-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 41 44 52 77 82 91 143 154 164 169 182 286 287 308 338 364 451 533 572 574 676 902 1001 1066 1148 1183 1804 1859 2002 2132 2366 3157 3718 3731 4004 4732 5863 6314 6929 7436 7462 11726 12628 13013 13858 14924 23452 26026 27716 41041 48503 52052 76219 82082 97006 110183 152438 164164 194012 220366 304876 440732 533533 771281 1067066 1212013 1432379 1542562 2134132 2424026 2864758 3085124 4517503 4848052 5729516 8484091 9035006 10026653 15756169 16968182 18070012 18620927 20053306 31512338 31622521 33936364 37241854 40106612 49692533 58727539 63024676 63245042 74483708 99385066 110293183 117455078 126490084 130346489 198770132 204830197 220586366 234910156 260692978 347847731 409660394 411092773 441172732 521385956 646002929 695695462 763458007 819320788 822185546 1292005858 1391390924 1433811379 1526916014 1644371092 2584011716 2867622758 3053832028 4522020503 5344206049 5735245516 8398038077 9044041006 10688412098 16796076154 18088082012 21376824196 33592152308 58786266539 117572533078 235145066156