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381260609748 = 223437161319717
BaseRepresentation
bin1011000110001001110…
…01110011100011010100
31100110002201002201020000
411203010321303203110
522221310204002443
6451052042011300
736354664466124
oct5430471634324
91313081081200
10381260609748
11137767747117
1261a834a6b30
1329c50189545
141464b4a6c84
159db668b8d3
hex58c4e738d4

381260609748 has 120 divisors (see below), whose sum is σ = 1024314686472. Its totient is φ = 123569162496.

The previous prime is 381260609683. The next prime is 381260609771. The reversal of 381260609748 is 847906062183.

381260609748 is a `hidden beast` number, since 3 + 8 + 1 + 26 + 0 + 609 + 7 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62501000004 + 318759609744 = 250002^2 + 564588^2 .

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 = 381260609694 and 381260609703.

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 39 ways as a sum of consecutive naturals, for example, 19326786 + ... + 19346502.

Almost surely, 2381260609748 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 381260609748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512157343236).

381260609748 is an abundant number, since it is smaller than the sum of its proper divisors (643054076724).

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

381260609748 is a wasteful number, since it uses less digits than its factorization.

381260609748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21383 (or 21372 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 381260609748 in words is "three hundred eighty-one billion, two hundred sixty million, six hundred nine thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1613 1998 2997 3226 3996 4839 5994 6452 9678 11988 14517 19356 19717 29034 39434 43551 58068 59151 59681 78868 87102 118302 119362 130653 174204 177453 179043 236604 238724 261306 354906 358086 522612 532359 537129 709812 716172 729529 1064718 1074258 1459058 1597077 1611387 2129436 2148516 2188587 2918116 3194154 3222774 4377174 4834161 6388308 6445548 6565761 8754348 9668322 13131522 19336644 19697283 26263044 31803521 39394566 59091849 63607042 78789132 95410563 118183698 127214084 190821126 236367396 286231689 381642252 572463378 858695067 1144926756 1176730277 1717390134 2353460554 2576085201 3434780268 3530190831 4706921108 5152170402 7060381662 10304340804 10590572493 14120763324 21181144986 31771717479 42362289972 63543434958 95315152437 127086869916 190630304874 381260609748