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20513054739696 = 24319311224159273
BaseRepresentation
bin1001010101000000100010…
…10101110100110011110000
32200122000210001110201002220
410222200101111310303300
510142041214003132241
6111343322305441040
74215006422243661
oct452402125646360
980560701421086
1020513054739696
1165995a0698702
122373698640180
13b5a4acc5b04c
1450cba11b9368
152588d1b30166
hex12a811574cf0

20513054739696 has 160 divisors (see below), whose sum is σ = 57586179962880. Its totient is φ = 6268227379200.

The previous prime is 20513054739673. The next prime is 20513054739781. The reversal of 20513054739696 is 69693745031502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346047916 + ... + 346107188.

It is an arithmetic number, because the mean of its divisors is an integer number (359913624768).

Almost surely, 220513054739696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20513054739696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28793089981440).

20513054739696 is an abundant number, since it is smaller than the sum of its proper divisors (37073125223184).

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

20513054739696 is a wasteful number, since it uses less digits than its factorization.

20513054739696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71575 (or 71569 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 60.

The spelling of 20513054739696 in words is "twenty trillion, five hundred thirteen billion, fifty-four million, seven hundred thirty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 2356 3534 4712 7068 9424 12241 14136 24482 28272 36723 48964 59273 73446 97928 118546 146892 177819 195856 232579 237092 293784 355638 379471 465158 474184 587568 697737 711276 758942 930316 948368 1126187 1138413 1395474 1422552 1517884 1837463 1860632 2252374 2276826 2790948 2845104 3035768 3378561 3674926 3721264 4504748 4553652 5512389 5581896 6071536 6757122 7209949 7349852 9009496 9107304 11024778 11163792 13514244 14419898 14699704 18018992 18214608 21629847 22049556 27028488 28839796 29399408 34911797 43259694 44099112 54056976 57679592 69823594 86519388 88198224 104735391 115359184 139647188 173038776 209470782 279294376 346077552 418941564 558588752 725560793 837883128 1451121586 1675766256 2176682379 2902243172 4353364758 5804486344 8706729516 11608972688 13785655067 17413459032 22492384583 27571310134 34826918064 41356965201 44984769166 55142620268 67477153749 82713930402 89969538332 110285240536 134954307498 165427860804 179939076664 220570481072 269908614996 330855721608 359878153328 427355307077 539817229992 661711443216 854710614154 1079634459984 1282065921231 1709421228308 2564131842462 3418842456616 5128263684924 6837684913232 10256527369848 20513054739696