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20374516400 = 2452739718329
BaseRepresentation
bin10010111110011010…
…100111001010110000
31221120221020200011112
4102332122213022300
5313211334011100
613205424332452
71320620350310
oct227632471260
957527220145
1020374516400
118705979807
123b47474128
131bc9165b84
14db3d35440
157e3a98b35
hex4be6a72b0

20374516400 has 120 divisors (see below), whose sum is σ = 56086573920. Its totient is φ = 6967572480.

The previous prime is 20374516391. The next prime is 20374516423. The reversal of 20374516400 is 461547302.

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, 1102436 + ... + 1120764.

It is an arithmetic number, because the mean of its divisors is an integer number (467388116).

Almost surely, 220374516400 is an apocalyptic number.

20374516400 is a gapful number since it is divisible by the number (20) 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 20374516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28043286960).

20374516400 is an abundant number, since it is smaller than the sum of its proper divisors (35712057520).

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

20374516400 is a wasteful number, since it uses less digits than its factorization.

20374516400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18751 (or 18740 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 20374516400 in words is "twenty billion, three hundred seventy-four million, five hundred sixteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 397 400 560 700 794 1400 1588 1985 2779 2800 3176 3970 5558 6352 7940 9925 11116 13895 15880 18329 19850 22232 27790 31760 36658 39700 44464 55580 69475 73316 79400 91645 111160 128303 138950 146632 158800 183290 222320 256606 277900 293264 366580 458225 513212 555800 641515 733160 916450 1026424 1111600 1283030 1466320 1832900 2052848 2566060 3207575 3665800 5132120 6415150 7276613 7331600 10264240 12830300 14553226 25660600 29106452 36383065 50936291 51321200 58212904 72766130 101872582 116425808 145532260 181915325 203745164 254681455 291064520 363830650 407490328 509362910 582129040 727661300 814980656 1018725820 1273407275 1455322600 2037451640 2546814550 2910645200 4074903280 5093629100 10187258200 20374516400