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1355412116004 = 2233137854311527
BaseRepresentation
bin10011101110010100110…
…110111001001000100100
311210120120000000121021220
4103232110312321020210
5134201341000203004
62514400121340340
7166632242615112
oct23562466711044
94716500017256
101355412116004
11482910893091
1219a8309376b0
139aa791ba06b
14498609b6ab2
15253cd9c9dd9
hex13b94db9224

1355412116004 has 96 divisors (see below), whose sum is σ = 3353565659136. Its totient is φ = 425325997440.

The previous prime is 1355412115891. The next prime is 1355412116027. The reversal of 1355412116004 is 4006112145531.

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, 117580089 + ... + 117591615.

It is an arithmetic number, because the mean of its divisors is an integer number (34932975616).

Almost surely, 21355412116004 is an apocalyptic number.

It is an amenable number.

1355412116004 is an abundant number, since it is smaller than the sum of its proper divisors (1998153543132).

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

1355412116004 is a wasteful number, since it uses less digits than its factorization.

1355412116004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20145 (or 20143 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 1355412116004 in words is "one trillion, three hundred fifty-five billion, four hundred twelve million, one hundred sixteen thousand, four".

Divisors: 1 2 3 4 6 12 31 37 62 74 93 111 124 148 186 222 372 444 1147 2294 3441 4588 6882 8543 11527 13764 17086 23054 25629 34172 34581 46108 51258 69162 102516 138324 264833 316091 357337 426499 529666 632182 714674 794499 852998 948273 1059332 1072011 1264364 1279497 1429348 1588998 1705996 1896546 2144022 2558994 3177996 3793092 4288044 5117988 9798821 13221469 19597642 26442938 29396463 39195284 39664407 52885876 58792926 79328814 98475161 117585852 158657628 196950322 295425483 393900644 590850966 1181701932 3052729991 3643580957 6105459982 7287161914 9158189973 10930742871 12210919964 14574323828 18316379946 21861485742 36632759892 43722971484 112951009667 225902019334 338853029001 451804038668 677706058002 1355412116004