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16379945460 = 22325151602647
BaseRepresentation
bin11110100000101001…
…00010000111110100
31120021112202102222200
433100110202013310
5232021231223320
611305211024500
71116624145014
oct172024420764
946245672880
1016379945460
116a4606350a
12321173b130
1317106c5628
14b155d5c44
1565d047290
hex3d05221f4

16379945460 has 72 divisors (see below), whose sum is σ = 50014962816. Its totient is φ = 4339051200.

The previous prime is 16379945431. The next prime is 16379945471. The reversal of 16379945460 is 6454997361.

16379945460 is a `hidden beast` number, since 1 + 6 + 3 + 7 + 9 + 94 + 546 + 0 = 666.

It is a super-2 number, since 2×163799454602 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16379945397 and 16379945406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274144 + ... + 328503.

Almost surely, 216379945460 is an apocalyptic number.

16379945460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16379945460 is an abundant number, since it is smaller than the sum of its proper divisors (33635017356).

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

16379945460 is a wasteful number, since it uses less digits than its factorization.

16379945460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602813 (or 602808 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 16379945460 in words is "sixteen billion, three hundred seventy-nine million, nine hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 453 604 755 906 1359 1510 1812 2265 2718 3020 4530 5436 6795 9060 13590 27180 602647 1205294 1807941 2410588 3013235 3615882 5423823 6026470 7231764 9039705 10847646 12052940 18079410 21695292 27119115 36158820 54238230 90999697 108476460 181999394 272999091 363998788 454998485 545998182 818997273 909996970 1091996364 1364995455 1637994546 1819993940 2729990910 3275989092 4094986365 5459981820 8189972730 16379945460