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30185713717056 = 2633163107169229
BaseRepresentation
bin1101101110100001010001…
…01111100100111101000000
310221212201121021211002001000
412313100220233210331000
512424030320202421211
6144111043032412000
76233563061055432
oct667205057447500
9127781537732030
1030185713717056
1196887644a9447
12347623a547000
1313ac667a45161
14764dd3d52652
153752ede1a656
hex1b7428be4f40

30185713717056 has 112 divisors (see below), whose sum is σ = 89284828897600. Its totient is φ = 10000175003136.

The previous prime is 30185713717031. The next prime is 30185713717123. The reversal of 30185713717056 is 65071731758103.

30185713717056 is a `hidden beast` number, since 3 + 0 + 1 + 8 + 571 + 3 + 7 + 17 + 0 + 56 = 666.

It is a super-2 number, since 2×301857137170562 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 30185713716993 and 30185713717011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53302951 + ... + 53866278.

It is an arithmetic number, because the mean of its divisors is an integer number (797185972300).

Almost surely, 230185713717056 is an apocalyptic number.

30185713717056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30185713717056 is an abundant number, since it is smaller than the sum of its proper divisors (59099115180544).

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

30185713717056 is a wasteful number, since it uses less digits than its factorization.

30185713717056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107169413 (or 107169397 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 30185713717056 in words is "thirty trillion, one hundred eighty-five billion, seven hundred thirteen million, seven hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 163 192 216 288 326 432 489 576 652 864 978 1304 1467 1728 1956 2608 2934 3912 4401 5216 5868 7824 8802 10432 11736 15648 17604 23472 31296 35208 46944 70416 93888 140832 281664 107169229 214338458 321507687 428676916 643015374 857353832 964523061 1286030748 1714707664 1929046122 2572061496 2893569183 3429415328 3858092244 5144122992 5787138366 6858830656 7716184488 10288245984 11574276732 15432368976 17468584327 20576491968 23148553464 30864737952 34937168654 46297106928 52405752981 61729475904 69874337308 92594213856 104811505962 139748674616 157217258943 185188427712 209623011924 279497349232 314434517886 419246023848 471651776829 558994698464 628869035772 838492047696 943303553658 1117989396928 1257738071544 1676984095392 1886607107316 2515476143088 3353968190784 3773214214632 5030952286176 7546428429264 10061904572352 15092856858528 30185713717056