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10416662032 = 247233563709
BaseRepresentation
bin10011011001110000…
…11010011000010000
3222212221210020222111
421230320122120100
5132313131141112
64441345115104
7516064111030
oct115470323020
928787706874
1010416662032
114465a303a7
122028628a94
13ca0113a5a
1470b6238c0
1540e7635a7
hex26ce1a610

10416662032 has 80 divisors (see below), whose sum is σ = 23238334080. Its totient is φ = 4430969856.

The previous prime is 10416662021. The next prime is 10416662057. The reversal of 10416662032 is 23026661401.

It is a junction number, because it is equal to n+sod(n) for n = 10416661985 and 10416662003.

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, 14691694 + ... + 14692402.

It is an arithmetic number, because the mean of its divisors is an integer number (290479176).

Almost surely, 210416662032 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 10416662032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11619167040).

10416662032 is an abundant number, since it is smaller than the sum of its proper divisors (12821672048).

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

10416662032 is a wasteful number, since it uses less digits than its factorization.

10416662032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 10416662032 in words is "ten billion, four hundred sixteen million, six hundred sixty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 233 466 563 709 932 1126 1418 1631 1864 2252 2836 3262 3728 3941 4504 4963 5672 6524 7882 9008 9926 11344 13048 15764 19852 26096 31528 39704 63056 79408 131179 165197 262358 330394 399167 524716 660788 798334 918253 1049432 1156379 1321576 1596668 1836506 2098864 2312758 2643152 2794169 3193336 3673012 4625516 5588338 6386672 7346024 9251032 11176676 14692048 18502064 22353352 44706704 93005911 186011822 372023644 651041377 744047288 1302082754 1488094576 2604165508 5208331016 10416662032