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6157149097008 = 2437135092769359
BaseRepresentation
bin101100110011001001010…
…1011110100110000110000
3210210121200022021211012110
41121212102223310300300
51301334320132101013
621032315533325320
71203560615540640
oct131462253646060
923717608254173
106157149097008
111a6426116aa38
12835368936840
13358802a89070
14174016c2c520
15aa2654d32c3
hex59992af4c30

6157149097008 has 160 divisors (see below), whose sum is σ = 19615044556800. Its totient is φ = 1620672611328.

The previous prime is 6157149096977. The next prime is 6157149097013. The reversal of 6157149097008 is 8007909417516.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 838633 + ... + 3607991.

It is an arithmetic number, because the mean of its divisors is an integer number (122594028480).

Almost surely, 26157149097008 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 6157149097008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9807522278400).

6157149097008 is an abundant number, since it is smaller than the sum of its proper divisors (13457895459792).

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

6157149097008 is a wasteful number, since it uses less digits than its factorization.

6157149097008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769899 (or 2769893 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 57.

The spelling of 6157149097008 in words is "six trillion, one hundred fifty-seven billion, one hundred forty-nine million, ninety-seven thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 509 546 624 728 1018 1092 1456 1527 2036 2184 3054 3563 4072 4368 6108 6617 7126 8144 10689 12216 13234 14252 19851 21378 24432 26468 28504 39702 42756 46319 52936 57008 79404 85512 92638 105872 138957 158808 171024 185276 277914 317616 370552 555828 741104 1111656 2223312 2769359 5538718 8308077 11077436 16616154 19385513 22154872 33232308 36001667 38771026 44309744 58156539 66464616 72003334 77542052 108005001 116313078 132929232 144006668 155084104 216010002 232626156 252011669 288013336 310168208 432020004 465252312 504023338 576026672 756035007 864040008 930504624 1008046676 1409603731 1512070014 1728080016 2016093352 2819207462 3024140028 4032186704 4228811193 5638414924 6048280056 8457622386 9867226117 11276829848 12096560112 16915244772 18324848503 19734452234 22553659696 29601678351 33830489544 36649697006 39468904468 54974545509 59203356702 67660979088 73299394012 78937808936 109949091018 118406713404 128273939521 146598788024 157875617872 219898182036 236813426808 256547879042 293197576048 384821818563 439796364072 473626853616 513095758084 769643637126 879592728144 1026191516168 1539287274252 2052383032336 3078574548504 6157149097008