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1117948856157 = 337171073978191
BaseRepresentation
bin10000010001001010111…
…100011100011101011101
310221212121210000010121000
4100101022330130131131
5121304024401344112
62213324551500513
7143524546326150
oct20211274343535
93855553003530
101117948856157
113a1134a91311
121607ba987739
138156453c913
143c1751bdc97
151e1316057dc
hex1044af1c75d

1117948856157 has 128 divisors (see below), whose sum is σ = 2028239585280. Its totient is φ = 594057784320.

The previous prime is 1117948856147. The next prime is 1117948856197. The reversal of 1117948856157 is 7516588497111.

1117948856157 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 9 + 4 + 8 + 8 + 5 + 615 + 7 = 666.

It is not a de Polignac number, because 1117948856157 - 211 = 1117948854109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1117948856094 and 1117948856103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117948856147) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136480932 + ... + 136489122.

It is an arithmetic number, because the mean of its divisors is an integer number (15845621760).

Almost surely, 21117948856157 is an apocalyptic number.

1117948856157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1117948856157 is a deficient number, since it is larger than the sum of its proper divisors (910290729123).

1117948856157 is a wasteful number, since it uses less digits than its factorization.

1117948856157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8728 (or 8722 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 63.

The spelling of 1117948856157 in words is "one trillion, one hundred seventeen billion, nine hundred forty-eight million, eight hundred fifty-six thousand, one hundred fifty-seven".

Divisors: 1 3 7 9 17 21 27 51 63 107 119 153 189 321 357 397 459 749 963 1071 1191 1819 2247 2779 2889 3213 3573 5457 6741 6749 8191 8337 10719 12733 16371 20223 20247 24573 25011 38199 42479 47243 49113 57337 60741 73719 75033 114597 127437 139247 141729 172011 182223 221157 297353 343791 382311 417741 425187 516033 722143 876437 892059 974729 1146933 1253223 1275561 1548099 2166429 2629311 2676177 2924187 3251827 3759669 5055001 6135059 6499287 7887933 8028531 8772561 9755481 14899429 15165003 18405177 19497861 22762789 23663799 26317683 29266443 44698287 45495009 55215531 55281059 68288367 87799329 104296003 134094861 136485027 165646593 165843177 204865101 312888009 347945489 386967413 402284583 497529531 614595303 938664027 1043836467 1160902239 1492588593 2435618423 2815992081 3131509401 3482706717 5915073313 7306855269 9394528203 10448120151 17745219939 21920565807 41405513191 53235659817 65761697421 124216539573 159706979451 372649618719 1117948856157