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378964793040 = 24358319024337
BaseRepresentation
bin1011000001111000000…
…11111101011011010000
31100020011201010010202120
411200330003331123100
522202104441334130
6450032150414240
736244046410011
oct5407403753320
91306151103676
10378964793040
11136799823039
1261542661380
132997564a512
14144b0607008
159cced44910
hex583c0fd6d0

378964793040 has 80 divisors (see below), whose sum is σ = 1188945027648. Its totient is φ = 99839715328.

The previous prime is 378964793027. The next prime is 378964793057. The reversal of 378964793040 is 40397469873.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3789647930402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9492249 + ... + 9532088.

Almost surely, 2378964793040 is an apocalyptic number.

378964793040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378964793040 is an abundant number, since it is smaller than the sum of its proper divisors (809980234608).

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

378964793040 is a wasteful number, since it uses less digits than its factorization.

378964793040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19024436 (or 19024430 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 378964793040 in words is "three hundred seventy-eight billion, nine hundred sixty-four million, seven hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1245 1328 1660 1992 2490 3320 3984 4980 6640 9960 19920 19024337 38048674 57073011 76097348 95121685 114146022 152194696 190243370 228292044 285365055 304389392 380486740 456584088 570730110 760973480 913168176 1141460220 1521946960 1579019971 2282920440 3158039942 4565840880 4737059913 6316079884 7895099855 9474119826 12632159768 15790199710 18948239652 23685299565 25264319536 31580399420 37896479304 47370599130 63160798840 75792958608 94741198260 126321597680 189482396520 378964793040