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48198933130544 = 24721119131066159
BaseRepresentation
bin10101111010110001100000…
…10010011010110100110000
320022122202212112002111220122
422331120300102122310300
522304142403340134134
6250302141215425412
713103154331551350
oct1275306022326460
9208582775074818
1048198933130544
11143a3064232709
1254a5339225268
1320b81a8459c91
14bc8bab282b60
15588b7161702e
hex2bd63049ad30

48198933130544 has 80 divisors (see below), whose sum is σ = 107288175498240. Its totient is φ = 20548020487680.

The previous prime is 48198933130519. The next prime is 48198933130553. The reversal of 48198933130544 is 44503133989184.

It is a happy number.

It is a super-2 number, since 2×481989331305442 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44674937 + ... + 45741095.

It is an arithmetic number, because the mean of its divisors is an integer number (1341102193728).

Almost surely, 248198933130544 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 48198933130544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53644087749120).

48198933130544 is an abundant number, since it is smaller than the sum of its proper divisors (59089242367696).

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

48198933130544 is a wasteful number, since it uses less digits than its factorization.

48198933130544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068298 (or 1068292 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 62.

The spelling of 48198933130544 in words is "forty-eight trillion, one hundred ninety-eight billion, nine hundred thirty-three million, one hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 211 422 844 1477 1688 1913 2954 3376 3826 5908 7652 11816 13391 15304 23632 26782 30608 53564 107128 214256 403643 807286 1066159 1614572 2132318 2825501 3229144 4264636 5651002 6458288 7463113 8529272 11302004 14926226 17058544 22604008 29852452 45208016 59704904 119409808 224959549 449919098 899838196 1574716843 1799676392 2039562167 3149433686 3599352784 4079124334 6298867372 8158248668 12597734744 14276935169 16316497336 25195469488 28553870338 32632994672 57107740676 114215481352 228430962704 430347617237 860695234474 1721390468948 3012433320659 3442780937896 6024866641318 6885561875792 12049733282636 24099466565272 48198933130544