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1218980135016 = 233377111354983
BaseRepresentation
bin10001101111010000111…
…000001100000001101000
311022112101211011212111000
4101233100320030001220
5124432432403310031
62331554114435000
7154032315121440
oct21572070140150
94275354155430
101218980135016
1142aa6a564496
121782b5b92a60
138ac458bb627
1442ddb1b1120
1521a9614e3e6
hex11bd0e0c068

1218980135016 has 128 divisors (see below), whose sum is σ = 3924282470400. Its totient is φ = 343374655680.

The previous prime is 1218980134997. The next prime is 1218980135041. The reversal of 1218980135016 is 6105310898121.

1218980135016 is a `hidden beast` number, since 1 + 218 + 9 + 80 + 1 + 350 + 1 + 6 = 666.

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, 5570140 + ... + 5784843.

It is an arithmetic number, because the mean of its divisors is an integer number (30658456800).

Almost surely, 21218980135016 is an apocalyptic number.

It is an amenable number.

1218980135016 is an abundant number, since it is smaller than the sum of its proper divisors (2705302335384).

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

1218980135016 is a wasteful number, since it uses less digits than its factorization.

1218980135016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11355076 (or 11355066 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 1218980135016 in words is "one trillion, two hundred eighteen billion, nine hundred eighty million, one hundred thirty-five thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 71 72 84 108 126 142 168 189 213 216 252 284 378 426 497 504 568 639 756 852 994 1278 1491 1512 1704 1917 1988 2556 2982 3834 3976 4473 5112 5964 7668 8946 11928 13419 15336 17892 26838 35784 53676 107352 11354983 22709966 34064949 45419932 68129898 79484881 90839864 102194847 136259796 158969762 204389694 238454643 272519592 306584541 317939524 408779388 476909286 613169082 635879048 715363929 806203793 817558776 953818572 1226338164 1430727858 1612407586 1907637144 2146091787 2418611379 2452676328 2861455716 3224815172 4292183574 4837222758 5643426551 5722911432 6449630344 7255834137 8584367148 9674445516 11286853102 14511668274 16930279653 17168734296 19348891032 21767502411 22573706204 29023336548 33860559306 43535004822 45147412408 50790838959 58046673096 67721118612 87070009644 101581677918 135442237224 152372516877 174140019288 203163355836 304745033754 406326711672 609490067508 1218980135016