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20902255400960 = 21157333278363
BaseRepresentation
bin1001100000010101011111…
…00000100001100000000000
32202000020101010011211100222
410300022233200201200000
510214430304340312320
6112242210310402212
74255065242262263
oct460125740414000
982006333154328
1020902255400960
116729662286a6a
122416bb7060368
13b880c70cb00b
14523962dc2cda
15263ab03c4825
hex1302af821800

20902255400960 has 96 divisors (see below), whose sum is σ = 50160185122320. Its totient is φ = 8359731953664.

The previous prime is 20902255400953. The next prime is 20902255401037. The reversal of 20902255400960 is 6900455220902.

It is a super-2 number, since 2×209022554009602 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74950739 + ... + 75229101.

Almost surely, 220902255400960 is an apocalyptic number.

20902255400960 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 20902255400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25080092561160).

20902255400960 is an abundant number, since it is smaller than the sum of its proper divisors (29257929721360).

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

20902255400960 is an equidigital number, since it uses as much as digits as its factorization.

20902255400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285723 (or 285703 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 20902255400960 in words is "twenty trillion, nine hundred two billion, two hundred fifty-five million, four hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 7333 10240 14666 29332 36665 58664 73330 117328 146660 234656 278363 293320 469312 556726 586640 938624 1113452 1173280 1391815 1877248 2226904 2346560 2783630 3754496 4453808 4693120 5567260 7508992 8907616 9386240 11134520 15017984 17815232 18772480 22269040 35630464 37544960 44538080 71260928 75089920 89076160 142521856 178152320 285043712 356304640 570087424 712609280 1425218560 2041235879 2850437120 4082471758 8164943516 10206179395 16329887032 20412358790 32659774064 40824717580 65319548128 81649435160 130639096256 163298870320 261278192512 326597740640 522556385024 653195481280 1045112770048 1306390962560 2090225540096 2612781925120 4180451080192 5225563850240 10451127700480 20902255400960