Search a number
-
+
149369837832 = 23344710194813
BaseRepresentation
bin1000101100011100100…
…0101101100100001000
3112021112211200221220000
42023013020231210020
54421402134302312
6152341454003000
713535344446525
oct2130710554410
9467484627800
10149369837832
1158390419a76
1224b477a6460
1311115b52b37
14732dbd614c
153d43604adc
hex22c722d908

149369837832 has 160 divisors (see below), whose sum is σ = 427783593600. Its totient is φ = 48672648576.

The previous prime is 149369837807. The next prime is 149369837849. The reversal of 149369837832 is 238738963941.

149369837832 is a `hidden beast` number, since 1 + 493 + 69 + 8 + 3 + 7 + 83 + 2 = 666.

It is a super-2 number, since 2×1493698378322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 149369837832.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31032258 + ... + 31037070.

It is an arithmetic number, because the mean of its divisors is an integer number (2673647460).

Almost surely, 2149369837832 is an apocalyptic number.

149369837832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149369837832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213891796800).

149369837832 is an abundant number, since it is smaller than the sum of its proper divisors (278413755768).

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

149369837832 is a wasteful number, since it uses less digits than its factorization.

149369837832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5884 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 149369837832 in words is "one hundred forty-nine billion, three hundred sixty-nine million, eight hundred thirty-seven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 282 324 376 423 564 648 846 1019 1128 1269 1692 2038 2538 3057 3384 3807 4076 4813 5076 6114 7614 8152 9171 9626 10152 12228 14439 15228 18342 19252 24456 27513 28878 30456 36684 38504 43317 47893 55026 57756 73368 82539 86634 95786 110052 115512 129951 143679 165078 173268 191572 220104 226211 259902 287358 330156 346536 383144 389853 431037 452422 519804 574716 660312 678633 779706 862074 904844 1039608 1149432 1293111 1357266 1559412 1724148 1809688 2035899 2586222 2714532 3118824 3448296 3879333 4071798 4904447 5172444 5429064 6107697 7758666 8143596 9808894 10344888 12215394 14713341 15517332 16287192 18323091 19617788 24430788 29426682 31034664 36646182 39235576 44140023 48861576 58853364 73292364 88280046 117706728 132420069 146584728 176560092 230509009 264840138 353120184 397260207 461018018 529680276 691527027 794520414 922036036 1059360552 1383054054 1589040828 1844072072 2074581081 2766108108 3178081656 4149162162 5532216216 6223743243 8298324324 12447486486 16596648648 18671229729 24894972972 37342459458 49789945944 74684918916 149369837832