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16642020400 = 245270159351
BaseRepresentation
bin11110111111111000…
…10001010000110000
31120221210220020012221
433133330101100300
5233040324123100
611351212130424
71126255560625
oct173774212060
946853806187
1016642020400
11706aa94275
123285466a14
131752aa5165
14b3c33634c
1567606401a
hex3dff11430

16642020400 has 60 divisors (see below), whose sum is σ = 40040164944. Its totient is φ = 6647200000.

The previous prime is 16642020383. The next prime is 16642020413. The reversal of 16642020400 is 402024661.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250725 + ... + 310075.

Almost surely, 216642020400 is an apocalyptic number.

16642020400 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 16642020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20020082472).

16642020400 is an abundant number, since it is smaller than the sum of its proper divisors (23398144544).

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

16642020400 is a wasteful number, since it uses less digits than its factorization.

16642020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60070 (or 60059 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 16642020400 in words is "sixteen billion, six hundred forty-two million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 701 1402 2804 3505 5608 7010 11216 14020 17525 28040 35050 56080 59351 70100 118702 140200 237404 280400 296755 474808 593510 949616 1187020 1483775 2374040 2967550 4748080 5935100 11870200 23740400 41605051 83210102 166420204 208025255 332840408 416050510 665680816 832101020 1040126275 1664202040 2080252550 3328404080 4160505100 8321010200 16642020400