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75400857947904 = 2832314928648439
BaseRepresentation
bin10001001001001110100001…
…010110101000111100000000
3100212222020210102200112110220
4101021032201112220330000
534340331424113313104
6424210402001023040
721611350356522066
oct2111164126507400
9325866712615426
1075400857947904
1122030362684a35
128559236924a80
13330c36909b088
1414895c7302036
158ab5390d27d9
hex4493a15a8f00

75400857947904 has 144 divisors (see below), whose sum is σ = 210806680896000. Its totient is φ = 23879504416768.

The previous prime is 75400857947897. The next prime is 75400857947911. The reversal of 75400857947904 is 40974975800457.

It is an interprime number because it is at equal distance from previous prime (75400857947897) and next prime (75400857947911).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

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, 11692284 + ... + 16956155.

It is an arithmetic number, because the mean of its divisors is an integer number (1463935284000).

Almost surely, 275400857947904 is an apocalyptic number.

It is an amenable number.

75400857947904 is an abundant number, since it is smaller than the sum of its proper divisors (135405822948096).

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

75400857947904 is a wasteful number, since it uses less digits than its factorization.

75400857947904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28648630 (or 28648616 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 69.

The spelling of 75400857947904 in words is "seventy-five trillion, four hundred billion, eight hundred fifty-seven million, nine hundred forty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 149 184 192 256 276 298 368 384 447 552 596 736 768 894 1104 1192 1472 1788 2208 2384 2944 3427 3576 4416 4768 5888 6854 7152 8832 9536 10281 13708 14304 17664 19072 20562 27416 28608 38144 41124 54832 57216 82248 109664 114432 164496 219328 328992 438656 657984 877312 1315968 2631936 28648439 57296878 85945317 114593756 171890634 229187512 343781268 458375024 658914097 687562536 916750048 1317828194 1375125072 1833500096 1976742291 2635656388 2750250144 3667000192 3953484582 4268617411 5271312776 5500500288 7334000384 7906969164 8537234822 10542625552 11001000576 12805852233 15813938328 17074469644 21085251104 22002001152 25611704466 31627876656 34148939288 42170502208 51223408932 63255753312 68297878576 84341004416 98178200453 102446817864 126511506624 136595757152 168682008832 196356400906 204893635728 253023013248 273191514304 294534601359 392712801812 409787271456 506046026496 546383028608 589069202718 785425603624 819574542912 1092766057216 1178138405436 1570851207248 1639149085824 2356276810872 3141702414496 3278298171648 4712553621744 6283404828992 9425107243488 12566809657984 18850214486976 25133619315968 37700428973952 75400857947904