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38720801558257 = 71329141431037441
BaseRepresentation
bin10001100110111011000111…
…00111110100111011110001
312002002200011020101012112221
420303131203213310323301
520033400200144331012
6214204031330121041
711104325362512430
oct1063354347647361
9162080136335487
1038720801558257
1111379444037545
124414426120181
13187b481c551a0
1497c14d869117
1547233c0e6507
hex2337639f4ef1

38720801558257 has 32 divisors (see below), whose sum is σ = 49303227617280. Its totient is φ = 29577696583680.

The previous prime is 38720801558227. The next prime is 38720801558293. The reversal of 38720801558257 is 75285510802783.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-38720801558257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38720801558195 and 38720801558204.

It is not an unprimeable number, because it can be changed into a prime (38720801558227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36804657 + ... + 37842097.

It is an arithmetic number, because the mean of its divisors is an integer number (1540725863040).

Almost surely, 238720801558257 is an apocalyptic number.

It is an amenable number.

38720801558257 is a deficient number, since it is larger than the sum of its proper divisors (10582426059023).

38720801558257 is a wasteful number, since it uses less digits than its factorization.

38720801558257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051633.

The product of its (nonzero) digits is 37632000, while the sum is 61.

The spelling of 38720801558257 in words is "thirty-eight trillion, seven hundred twenty billion, eight hundred one million, five hundred fifty-eight thousand, two hundred fifty-seven".

Divisors: 1 7 13 29 91 203 377 2639 14143 99001 183859 410147 1037441 1287013 2871029 5331911 7262087 13486733 30085789 37323377 94407131 210600523 391115257 2737806799 14672528063 102707696441 190742864819 425503313827 1335200053733 2978523196789 5531543079751 38720801558257