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146855638656 = 27361573813
BaseRepresentation
bin1000100011000101000…
…1110011011010000000
3112001001121210102000000
42020301101303122000
54401230020414111
6151244202000000
713416135222006
oct2106121633200
9461047712000
10146855638656
11573101a7a11
12245657a6000
1310b04cc170c
147171d2aa76
153c47a21c56
hex2231473680

146855638656 has 112 divisors (see below), whose sum is σ = 438645569010. Its totient is φ = 48951848448.

The previous prime is 146855638627. The next prime is 146855638661. The reversal of 146855638656 is 656836558641.

146855638656 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 5 + 563 + 8 + 65 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111946453056 + 34909185600 = 334584^2 + 186840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146855638593 and 146855638602.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 693595 + ... + 880218.

Almost surely, 2146855638656 is an apocalyptic number.

146855638656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146855638656 is an abundant number, since it is smaller than the sum of its proper divisors (291789930354).

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

146855638656 is an frugal number, since it uses more digits than its factorization.

146855638656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573845 (or 1573818 counting only the distinct ones).

The product of its digits is 124416000, while the sum is 63.

The spelling of 146855638656 in words is "one hundred forty-six billion, eight hundred fifty-five million, six hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3888 5184 5832 7776 10368 11664 15552 23328 31104 46656 93312 1573813 3147626 4721439 6295252 9442878 12590504 14164317 18885756 25181008 28328634 37771512 42492951 50362016 56657268 75543024 84985902 100724032 113314536 127478853 151086048 169971804 201448064 226629072 254957706 302172096 339943608 382436559 453258144 509915412 604344192 679887216 764873118 906516288 1019830824 1147309677 1359774432 1529746236 1813032576 2039661648 2294619354 2719548864 3059492472 4079323296 4589238708 5439097728 6118984944 8158646592 9178477416 12237969888 16317293184 18356954832 24475939776 36713909664 48951879552 73427819328 146855638656