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104926045960 = 235313713916453
BaseRepresentation
bin110000110111000010…
…1000110011100001000
3101000211110212101221101
41201232011012130020
53204342031432320
6120111413151144
710403110450351
oct1415605063410
9330743771841
10104926045960
114055402136a
121840362b4b4
139b82246b38
145115390d28
152ae1933c0a
hex186e146708

104926045960 has 128 divisors (see below), whose sum is σ = 252101606400. Its totient is φ = 39232097280.

The previous prime is 104926045957. The next prime is 104926045979. The reversal of 104926045960 is 69540629401.

It is a super-2 number, since 2×1049260459602 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104926045960.

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, 6369094 + ... + 6385546.

It is an arithmetic number, because the mean of its divisors is an integer number (1969543800).

Almost surely, 2104926045960 is an apocalyptic number.

104926045960 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 104926045960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126050803200).

104926045960 is an abundant number, since it is smaller than the sum of its proper divisors (147175560440).

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

104926045960 is a wasteful number, since it uses less digits than its factorization.

104926045960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16671 (or 16667 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 104926045960 in words is "one hundred four billion, nine hundred twenty-six million, forty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 37 40 62 74 124 139 148 155 185 248 278 296 310 370 556 620 695 740 1112 1147 1240 1390 1480 2294 2780 4309 4588 5143 5560 5735 8618 9176 10286 11470 16453 17236 20572 21545 22940 25715 32906 34472 41144 43090 45880 51430 65812 82265 86180 102860 131624 159433 164530 172360 205720 318866 329060 510043 608761 637732 658120 797165 1020086 1217522 1275464 1594330 2040172 2286967 2435044 2550215 3043805 3188660 4080344 4573934 4870088 5100430 6087610 6377320 9147868 10200860 11434835 12175220 18295736 18871591 20401720 22869670 24350440 37743182 45739340 70895977 75486364 84617779 91478680 94357955 141791954 150972728 169235558 188715910 283583908 338471116 354479885 377431820 423088895 567167816 676942232 708959770 754863640 846177790 1417919540 1692355580 2623151149 2835839080 3384711160 5246302298 10492604596 13115755745 20985209192 26231511490 52463022980 104926045960