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133037997048 = 23341126217121
BaseRepresentation
bin111101111100110101…
…1101011101111111000
3110201101122110111010000
41323321223223233320
54134430211401143
6141041121553000
712416543213415
oct1737153535770
9421348414100
10133037997048
115146a5322a0
122194a1a5760
13c712401018
146620b6310c
1536d9910bd3
hex1ef9aebbf8

133037997048 has 160 divisors (see below), whose sum is σ = 406717193520. Its totient is φ = 40293504000.

The previous prime is 133037997019. The next prime is 133037997073. The reversal of 133037997048 is 840799730331.

It is a happy number.

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 = 133037996985 and 133037997003.

It is a congruent number.

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, 18678928 + ... + 18686048.

Almost surely, 2133037997048 is an apocalyptic number.

133037997048 is a gapful number since it is divisible by the number (18) 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 133037997048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203358596760).

133037997048 is an abundant number, since it is smaller than the sum of its proper divisors (273679196472).

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

133037997048 is a wasteful number, since it uses less digits than its factorization.

133037997048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9771 (or 9758 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 133037997048 in words is "one hundred thirty-three billion, thirty-seven million, nine hundred ninety-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 2621 3564 5242 7121 7128 7863 10484 14242 15726 20968 21363 23589 28484 28831 31452 42726 47178 56968 57662 62904 64089 70767 78331 85452 86493 94356 115324 128178 141534 156662 170904 172986 188712 192267 212301 230648 234993 256356 259479 283068 313324 345972 384534 424602 469986 512712 518958 566136 576801 626648 691944 704979 769068 778437 849204 939972 1037916 1153602 1409958 1538136 1556874 1698408 1879944 2075832 2114937 2307204 2335311 2819916 3113748 4229874 4614408 4670622 5639832 6227496 6344811 8459748 9341244 12689622 16919496 18664141 18682488 25379244 37328282 50758488 55992423 74656564 111984846 149313128 167977269 205305551 223969692 335954538 410611102 447939384 503931807 615916653 671909076 821222204 1007863614 1231833306 1343818152 1511795421 1642444408 1847749959 2015727228 2463666612 3023590842 3695499918 4031454456 4927333224 5543249877 6047181684 7390999836 11086499754 12094363368 14781999672 16629749631 22172999508 33259499262 44345999016 66518998524 133037997048