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38782261761012 = 223271113990714921
BaseRepresentation
bin10001101000101101100101…
…11011111001001111110100
312002022112210111120222220200
420310112302323321033310
520040402033002323022
6214252154115400500
711111632412563140
oct1064266273711764
9162275714528820
1038782261761012
11113a2512792540
124424318bb3130
1318841c807c173
14981100222220
15473c37b31bac
hex2345b2ef93f4

38782261761012 has 72 divisors (see below), whose sum is σ = 122222885558592. Its totient is φ = 10073314742400.

The previous prime is 38782261760981. The next prime is 38782261761017. The reversal of 38782261761012 is 21016716228783.

38782261761012 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 2 + 2 + 6 + 1 + 7 + 610 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38782261761012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38782261761017) 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, 6995354689 + ... + 6995360232.

Almost surely, 238782261761012 is an apocalyptic number.

It is an amenable number.

38782261761012 is an abundant number, since it is smaller than the sum of its proper divisors (83440623797580).

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

38782261761012 is a wasteful number, since it uses less digits than its factorization.

38782261761012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13990714949 (or 13990714944 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

Adding to 38782261761012 its reverse (21016716228783), we get a palindrome (59798977989795).

The spelling of 38782261761012 in words is "thirty-eight trillion, seven hundred eighty-two billion, two hundred sixty-one million, seven hundred sixty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 13990714921 27981429842 41972144763 55962859684 83944289526 97935004447 125916434289 153897864131 167888579052 195870008894 251832868578 293805013341 307795728262 391740017788 461693592393 503665737156 587610026682 615591456524 881415040023 923387184786 1077285048917 1175220053364 1385080777179 1762830080046 1846774369572 2154570097834 2770161554358 3231855146751 3525660160092 4309140195668 5540323108716 6463710293502 9695565440253 12927420587004 19391130880506 38782261761012