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56378419416 = 233311151157141
BaseRepresentation
bin110100100000011010…
…100110100011011000
312101112002221110011000
4310200122212203120
51410430333410131
641522213105000
74034052441504
oct644032464330
9171462843130
1056378419416
1121a01169a60
12ab15028160
1354163623b7
142a2b8c7304
1516ee82bce6
hexd206a68d8

56378419416 has 128 divisors (see below), whose sum is σ = 171976204800. Its totient is φ = 16971120000.

The previous prime is 56378419403. The next prime is 56378419463. The reversal of 56378419416 is 61491487365.

56378419416 is a `hidden beast` number, since 563 + 78 + 4 + 1 + 9 + 4 + 1 + 6 = 666.

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

It is a congruent number.

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, 280206 + ... + 437346.

It is an arithmetic number, because the mean of its divisors is an integer number (1343564100).

Almost surely, 256378419416 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 56378419416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85988102400).

56378419416 is an abundant number, since it is smaller than the sum of its proper divisors (115597785384).

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

56378419416 is a wasteful number, since it uses less digits than its factorization.

56378419416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157318 (or 157308 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 56378419416 in words is "fifty-six billion, three hundred seventy-eight million, four hundred nineteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 151 198 216 264 297 302 396 453 594 604 792 906 1188 1208 1359 1661 1812 2376 2718 3322 3624 4077 4983 5436 6644 8154 9966 10872 13288 14949 16308 19932 29898 32616 39864 44847 59796 89694 119592 157141 179388 314282 358776 471423 628564 942846 1257128 1414269 1728551 1885692 2828538 3457102 3771384 4242807 5185653 5657076 6914204 8485614 10371306 11314152 13828408 15556959 16971228 20742612 23728291 31113918 33942456 41485224 46670877 47456582 62227836 71184873 93341754 94913164 124455672 142369746 186683508 189826328 213554619 261011201 284739492 373367016 427109238 522022402 569478984 640663857 783033603 854218476 1044044804 1281327714 1566067206 1708436952 2088089608 2349100809 2562655428 3132134412 4698201618 5125310856 6264268824 7047302427 9396403236 14094604854 18792806472 28189209708 56378419416