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104267450540 = 2251127112291423
BaseRepresentation
bin110000100011011010…
…0110000100010101100
3100222010120121021212102
41201012310300202230
53202014431404130
6115522205154232
710350562464161
oct1410664604254
9328116537772
10104267450540
1140246291930
121825ab5b978
139aa89736c6
145091b14068
152aa3bde645
hex1846d308ac

104267450540 has 96 divisors (see below), whose sum is σ = 240112373760. Its totient is φ = 37718265600.

The previous prime is 104267450537. The next prime is 104267450597. The reversal of 104267450540 is 45054762401.

It is a happy number.

It is a super-2 number, since 2×1042674505402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104267450494 and 104267450503.

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, 73272269 + ... + 73273691.

It is an arithmetic number, because the mean of its divisors is an integer number (2501170560).

Almost surely, 2104267450540 is an apocalyptic number.

104267450540 is a gapful number since it is divisible by the number (10) 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 104267450540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120056186880).

104267450540 is an abundant number, since it is smaller than the sum of its proper divisors (135844923220).

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

104267450540 is a wasteful number, since it uses less digits than its factorization.

104267450540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The spelling of 104267450540 in words is "one hundred four billion, two hundred sixty-seven million, four hundred fifty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 271 542 1084 1229 1355 1423 2458 2710 2846 2981 4916 5420 5692 5962 6145 7115 11924 12290 13519 14230 14905 15653 24580 27038 28460 29810 31306 54076 59620 62612 67595 78265 135190 156530 270380 313060 333059 385633 666118 771266 1332236 1542532 1665295 1748867 1928165 3330590 3497734 3663649 3856330 4241963 6661180 6995468 7327298 7712660 8483926 8744335 14654596 16967852 17488670 18318245 19237537 21209815 34977340 36636490 38475074 42419630 73272980 76950148 84839260 96187685 192375370 384750740 473942957 947885914 1895771828 2369714785 4739429570 5213372527 9478859140 10426745054 20853490108 26066862635 52133725270 104267450540