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378146295552 = 2831925914631
BaseRepresentation
bin1011000000010110100…
…01101000111100000000
31100011001122222011021210
411200023101220330000
522143420422424202
6445415031250120
736214550322654
oct5401321507400
91304048864253
10378146295552
111364097a8833
1261354519940
1329874bbc08c
1414433a24a64
159c83066c6c
hex580b468f00

378146295552 has 72 divisors (see below), whose sum is σ = 1059390156160. Its totient is φ = 119414615040.

The previous prime is 378146295511. The next prime is 378146295589. The reversal of 378146295552 is 255592641873.

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 = 378146295492 and 378146295501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12942724 + ... + 12971907.

Almost surely, 2378146295552 is an apocalyptic number.

378146295552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

378146295552 is an abundant number, since it is smaller than the sum of its proper divisors (681243860608).

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

378146295552 is a wasteful number, since it uses less digits than its factorization.

378146295552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25914669 (or 25914655 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 57.

The spelling of 378146295552 in words is "three hundred seventy-eight billion, one hundred forty-six million, two hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 14592 25914631 51829262 77743893 103658524 155487786 207317048 310975572 414634096 492377989 621951144 829268192 984755978 1243902288 1477133967 1658536384 1969511956 2487804576 2954267934 3317072768 3939023912 4975609152 5908535868 6634145536 7878047824 9951218304 11817071736 15756095648 19902436608 23634143472 31512191296 47268286944 63024382592 94536573888 126048765184 189073147776 378146295552