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42924380953760 = 2551671610399761
BaseRepresentation
bin10011100001010000111000…
…11110101001110010100000
312121222112022220121201112022
421300220130132221302200
521111233113011010020
6231143104405121012
712020120114030135
oct1160503436516240
9177875286551468
1042924380953760
111274a145015109
1249930483b9168
131ac49a07b7597
14a857a03d458c
154e68658b7625
hex270a1c7a9ca0

42924380953760 has 96 divisors (see below), whose sum is σ = 102023446516992. Its totient is φ = 17065708564480.

The previous prime is 42924380953709. The next prime is 42924380953771. The reversal of 42924380953760 is 6735908342924.

It is a junction number, because it is equal to n+sod(n) for n = 42924380953693 and 42924380953702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430222280 + ... + 430322040.

It is an arithmetic number, because the mean of its divisors is an integer number (1062744234552).

Almost surely, 242924380953760 is an apocalyptic number.

42924380953760 is a gapful number since it is divisible by the number (40) 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 42924380953760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51011723258496).

42924380953760 is an abundant number, since it is smaller than the sum of its proper divisors (59099065563232).

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

42924380953760 is a wasteful number, since it uses less digits than its factorization.

42924380953760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116046 (or 116038 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 62.

The spelling of 42924380953760 in words is "forty-two trillion, nine hundred twenty-four billion, three hundred eighty million, nine hundred fifty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 167 334 668 835 1336 1670 2672 3340 5344 6680 13360 16103 26720 32206 64412 80515 99761 128824 161030 199522 257648 322060 399044 498805 515296 644120 798088 997610 1288240 1596176 1995220 2576480 2689201 3192352 3990440 5378402 7980880 10756804 13446005 15961760 16660087 21513608 26892010 33320174 43027216 53784020 66640348 83300435 86054432 107568040 133280696 166600870 215136080 266561392 333201740 430272160 533122784 666403480 1332806960 1606451383 2665613920 3212902766 6425805532 8032256915 12851611064 16064513830 25703222128 32129027660 51406444256 64258055320 128516110640 257032221280 268277380961 536554761922 1073109523844 1341386904805 2146219047688 2682773809610 4292438095376 5365547619220 8584876190752 10731095238440 21462190476880 42924380953760