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12426246102504 = 233131811723127709
BaseRepresentation
bin1011010011010011010111…
…1111000001110111101000
31121222221022110022121212210
42310310311333001313220
53112042423000240004
642232312203205120
72421523651055553
oct264646577016750
947887273277783
1012426246102504
113a60a39a78503
1214883588167a0
136c1a3677aca0
1430d60d81969a
1516837dad2089
hexb4d35fc1de8

12426246102504 has 128 divisors (see below), whose sum is σ = 33659901475200. Its totient is φ = 3800099681280.

The previous prime is 12426246102463. The next prime is 12426246102511. The reversal of 12426246102504 is 40520164262421.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 97237402 + ... + 97365110.

It is an arithmetic number, because the mean of its divisors is an integer number (262967980275).

Almost surely, 212426246102504 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 12426246102504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16829950737600).

12426246102504 is an abundant number, since it is smaller than the sum of its proper divisors (21233655372696).

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

12426246102504 is a wasteful number, since it uses less digits than its factorization.

12426246102504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129635 (or 129631 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 12426246102504 in words is "twelve trillion, four hundred twenty-six billion, two hundred forty-six million, one hundred two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 181 312 362 543 724 1086 1448 1723 2172 2353 3446 4344 4706 5169 6892 7059 9412 10338 13784 14118 18824 20676 22399 28236 41352 44798 56472 67197 89596 127709 134394 179192 255418 268788 311863 383127 510836 537576 623726 766254 935589 1021672 1247452 1532508 1660217 1871178 2494904 3065016 3320434 3742356 4054219 4980651 6640868 7484712 8108438 9961302 12162657 13281736 16216876 19922604 23115329 24325314 32433752 39845208 46230658 48650628 69345987 92461316 97301256 138691974 184922632 220042607 277383948 300499277 440085214 554767896 600998554 660127821 880170428 901497831 1201997108 1320255642 1760340856 1802995662 2403994216 2640511284 2860553891 3605991324 5281022568 5721107782 7211982648 8581661673 11442215564 17163323346 22884431128 34326646692 39827711867 68653293384 79655423734 119483135601 159310847468 238966271202 318621694936 477932542404 517760254271 955865084808 1035520508542 1553280762813 2071041017084 3106561525626 4142082034168 6213123051252 12426246102504