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3125161984 = 2127223677
BaseRepresentation
bin1011101001000110…
…0011000000000000
322001210112200022011
42322101203000000
522400020140414
61234035022304
7140305303300
oct27221430000
98053480264
103125161984
1113640884aa
1273273a994
133aa5c7b99
142190a7600
15134568dc4
hexba463000

3125161984 has 156 divisors (see below), whose sum is σ = 7597185264. Its totient is φ = 1279229952.

The previous prime is 3125161981. The next prime is 3125161993. The reversal of 3125161984 is 4891615213.

It is not an unprimeable number, because it can be changed into a prime (3125161981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4615854 + ... + 4616530.

Almost surely, 23125161984 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 3125161984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798592632).

3125161984 is an abundant number, since it is smaller than the sum of its proper divisors (4472023280).

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

3125161984 is an equidigital number, since it uses as much as digits as its factorization.

3125161984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 709 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

The square root of 3125161984 is about 55903.1482476613. The cubic root of 3125161984 is about 1462.0341296881.

The spelling of 3125161984 in words is "three billion, one hundred twenty-five million, one hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 128 161 184 196 224 256 322 368 392 448 512 644 677 736 784 896 1024 1127 1288 1354 1472 1568 1792 2048 2254 2576 2708 2944 3136 3584 4096 4508 4739 5152 5416 5888 6272 7168 9016 9478 10304 10832 11776 12544 14336 15571 18032 18956 20608 21664 23552 25088 28672 31142 33173 36064 37912 41216 43328 47104 50176 62284 66346 72128 75824 82432 86656 94208 100352 108997 124568 132692 144256 151648 164864 173312 200704 217994 249136 265384 288512 303296 329728 346624 435988 498272 530768 577024 606592 659456 693248 762979 871976 996544 1061536 1154048 1213184 1386496 1525958 1743952 1993088 2123072 2308096 2426368 2772992 3051916 3487904 3986176 4246144 4616192 4852736 6103832 6975808 7972352 8492288 9705472 12207664 13951616 15944704 16984576 19410944 24415328 27903232 31889408 33969152 48830656 55806464 63778816 67938304 97661312 111612928 135876608 195322624 223225856 390645248 446451712 781290496 1562580992 3125161984