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10046228880 = 24351723107057
BaseRepresentation
bin10010101101100110…
…10100100110010000
3221221010202022020010
421112303110212100
5131033313311010
64340513314520
7503645352012
oct112663244620
927833668203
1010046228880
11429591a4a6
121b44565a40
13c4145523c
146b43581b2
153dbe90620
hex256cd4990

10046228880 has 160 divisors (see below), whose sum is σ = 34409297664. Its totient is φ = 2411757568.

The previous prime is 10046228879. The next prime is 10046228911. The reversal of 10046228880 is 8882264001.

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, 40312 + ... + 147368.

Almost surely, 210046228880 is an apocalyptic number.

10046228880 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 10046228880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204648832).

10046228880 is an abundant number, since it is smaller than the sum of its proper divisors (24363068784).

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

10046228880 is a wasteful number, since it uses less digits than its factorization.

10046228880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107113 (or 107107 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 10046228880 in words is "ten billion, forty-six million, two hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 23 24 30 34 40 46 48 51 60 68 69 80 85 92 102 115 120 136 138 170 184 204 230 240 255 272 276 340 345 368 391 408 460 510 552 680 690 782 816 920 1020 1104 1173 1360 1380 1564 1840 1955 2040 2346 2760 3128 3910 4080 4692 5520 5865 6256 7820 9384 11730 15640 18768 23460 31280 46920 93840 107057 214114 321171 428228 535285 642342 856456 1070570 1284684 1605855 1712912 1819969 2141140 2462311 2569368 3211710 3639938 4282280 4924622 5138736 5459907 6423420 7279876 7386933 8564560 9099845 9849244 10919814 12311555 12846840 14559752 14773866 18199690 19698488 21839628 24623110 25693680 27299535 29119504 29547732 36399380 36934665 39396976 41859287 43679256 49246220 54599070 59095464 72798760 73869330 83718574 87358512 98492440 109198140 118190928 125577861 145597520 147738660 167437148 196984880 209296435 218396280 251155722 295477320 334874296 418592870 436792560 502311444 590954640 627889305 669748592 837185740 1004622888 1255778610 1674371480 2009245776 2511557220 3348742960 5023114440 10046228880