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114552525220020 = 22345101700113221
BaseRepresentation
bin11010000010111101010110…
…100100101110100010110100
3120000121010002102220211120000
4122002331112210232202310
5110003312032424020040
61043344411550511300
733062101235433516
oct3202752644564264
9500533072824500
10114552525220020
11335554a91214a8
1210a21068b05530
134bbc3451a71b4
14204052c32bbb6
15d39b92704130
hex682f5692e8b4

114552525220020 has 120 divisors (see below), whose sum is σ = 362913490208808. Its totient is φ = 30244891104000.

The previous prime is 114552525220019. The next prime is 114552525220099. The reversal of 114552525220020 is 20022525255411.

114552525220020 is a `hidden beast` number, since 1 + 1 + 4 + 552 + 52 + 52 + 2 + 0 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67851101403684 + 46701423816336 = 8237178^2 + 6833844^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 349892991 + ... + 350220230.

Almost surely, 2114552525220020 is an apocalyptic number.

114552525220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114552525220020 is an abundant number, since it is smaller than the sum of its proper divisors (248360964988788).

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

114552525220020 is a wasteful number, since it uses less digits than its factorization.

114552525220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700113343 (or 700113332 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 114552525220020 in words is "one hundred fourteen trillion, five hundred fifty-two billion, five hundred twenty-five million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 101 108 135 162 180 202 270 303 324 404 405 505 540 606 810 909 1010 1212 1515 1620 1818 2020 2727 3030 3636 4545 5454 6060 8181 9090 10908 13635 16362 18180 27270 32724 40905 54540 81810 163620 700113221 1400226442 2100339663 2800452884 3500566105 4200679326 6301018989 7001132210 8401358652 10501698315 12602037978 14002264420 18903056967 21003396630 25204075956 31505094945 37806113934 42006793260 56709170901 63010189890 70711435321 75612227868 94515284835 113418341802 126020379780 141422870642 189030569670 212134305963 226836683604 282845741284 283545854505 353557176605 378061139340 424268611926 567091709010 636402917889 707114353210 848537223852 1060671529815 1134183418020 1272805835778 1414228706420 1909208753667 2121343059630 2545611671556 3182014589445 3818417507334 4242686119260 5727626261001 6364029178890 7636835014668 9546043768335 11455252522002 12728058357780 19092087536670 22910505044004 28638131305005 38184175073340 57276262610010 114552525220020