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48526040376 = 23321126478609
BaseRepresentation
bin101101001100011000…
…001001110100111000
311122020212022021010200
4231030120021310320
51243340131243001
634143105242200
73335343352242
oct551430116470
9148225267120
1048526040376
1119641759400
1294a3333360
134764597378
1424c4a89092
1513e0291086
hexb4c609d38

48526040376 has 144 divisors (see below), whose sum is σ = 144698626800. Its totient is φ = 14680427520.

The previous prime is 48526040363. The next prime is 48526040393. The reversal of 48526040376 is 67304062584.

48526040376 is a `hidden beast` number, since 4 + 8 + 5 + 2 + 604 + 0 + 37 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5632360 + ... + 5640968.

It is an arithmetic number, because the mean of its divisors is an integer number (1004851575).

Almost surely, 248526040376 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 48526040376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72349313400).

48526040376 is an abundant number, since it is smaller than the sum of its proper divisors (96172586424).

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

48526040376 is a wasteful number, since it uses less digits than its factorization.

48526040376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9290 (or 9272 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 48526040376 in words is "forty-eight billion, five hundred twenty-six million, forty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 647 726 792 968 1089 1294 1452 1941 2178 2588 2904 3882 4356 5176 5823 7117 7764 8609 8712 11646 14234 15528 17218 21351 23292 25827 28468 34436 42702 46584 51654 56936 64053 68872 77481 78287 85404 94699 103308 128106 154962 156574 170808 189398 206616 234861 256212 284097 309924 313148 378796 469722 512424 568194 619848 626296 704583 757592 852291 939444 1041689 1136388 1409166 1704582 1878888 2083378 2272776 2818332 3125067 3409164 4166756 5570023 5636664 6250134 6818328 8333512 9375201 11140046 12500268 16710069 18750402 22280092 25000536 33420138 37500804 44560184 50130207 61270253 66840276 75001608 100260414 122540506 133680552 183810759 200520828 245081012 367621518 401041656 490162024 551432277 673972783 735243036 1102864554 1347945566 1470486072 2021918349 2205729108 2695891132 4043836698 4411458216 5391782264 6065755047 8087673396 12131510094 16175346792 24263020188 48526040376