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38920094525088 = 2532737521773039
BaseRepresentation
bin10001101100101110010100…
…11010001010011010100000
312002210201120022020212212200
420312113022122022122200
520100131323144300323
6214435351122053200
711124612140003310
oct1066271232123240
9162721508225780
1038920094525088
1111445a12795207
124446b84aaa200
1318941c294192a
14987a57aa1440
15477603459443
hex2365ca68a6a0

38920094525088 has 144 divisors (see below), whose sum is σ = 129908964407040. Its totient is φ = 10819485715968.

The previous prime is 38920094525077. The next prime is 38920094525089. The reversal of 38920094525088 is 88052549002983.

38920094525088 is a `hidden beast` number, since 3 + 8 + 9 + 20 + 0 + 9 + 4 + 525 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×389200945250882 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (38920094525089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260811928 + ... + 260961111.

It is an arithmetic number, because the mean of its divisors is an integer number (902145586160).

Almost surely, 238920094525088 is an apocalyptic number.

It is an amenable number.

38920094525088 is an abundant number, since it is smaller than the sum of its proper divisors (90988869881952).

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

38920094525088 is a wasteful number, since it uses less digits than its factorization.

38920094525088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521773099 (or 521773088 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 38920094525088 in words is "thirty-eight trillion, nine hundred twenty billion, ninety-four million, five hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 72 74 84 96 111 112 126 144 148 168 222 224 252 259 288 296 333 336 444 504 518 592 666 672 777 888 1008 1036 1184 1332 1554 1776 2016 2072 2331 2664 3108 3552 4144 4662 5328 6216 8288 9324 10656 12432 18648 24864 37296 74592 521773039 1043546078 1565319117 2087092156 3130638234 3652411273 4174184312 4695957351 6261276468 7304822546 8348368624 9391914702 10957233819 12522552936 14609645092 16696737248 18783829404 19305602443 21914467638 25045105872 29219290184 32871701457 37567658808 38611204886 43828935276 50090211744 57916807329 58438580368 65743402914 75135317616 77222409772 87657870552 115833614658 116877160736 131486805828 135139217101 150270635232 154444819544 173750421987 175315741104 231667229316 262973611656 270278434202 308889639088 347500843974 350631482208 405417651303 463334458632 525947223312 540556868404 617779278176 695001687948 810835302606 926668917264 1051894446624 1081113736808 1216252953909 1390003375896 1621670605212 1853337834528 2162227473616 2432505907818 2780006751792 3243341210424 4324454947232 4865011815636 5560013503584 6486682420848 9730023631272 12973364841696 19460047262544 38920094525088