Search a number
-
+
938130817155 = 35717230915499
BaseRepresentation
bin11011010011011001111…
…01000100000010000011
310022200110221122021220120
431221230331010002003
5110332242442122110
61554545451111323
7124530520242450
oct15515475040203
93280427567816
10938130817155
1133194a431124
12131996142543
136a6085079cc
143359762c827
1519609d91870
hexda6cf44083

938130817155 has 48 divisors (see below), whose sum is σ = 1822283232000. Its totient is φ = 403632741888.

The previous prime is 938130817139. The next prime is 938130817157. The reversal of 938130817155 is 551718031839.

It is a happy number.

It is not a de Polignac number, because 938130817155 - 24 = 938130817139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 938130817098 and 938130817107.

It is not an unprimeable number, because it can be changed into a prime (938130817157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15427405 + ... + 15488094.

It is an arithmetic number, because the mean of its divisors is an integer number (37964234000).

Almost surely, 2938130817155 is an apocalyptic number.

938130817155 is a deficient number, since it is larger than the sum of its proper divisors (884152414845).

938130817155 is a wasteful number, since it uses less digits than its factorization.

938130817155 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30915548 (or 30915531 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 51.

The spelling of 938130817155 in words is "nine hundred thirty-eight billion, one hundred thirty million, eight hundred seventeen thousand, one hundred fifty-five".

Divisors: 1 3 5 7 15 17 21 35 51 85 105 119 255 289 357 595 867 1445 1785 2023 4335 6069 10115 30345 30915499 92746497 154577495 216408493 463732485 525563483 649225479 1082042465 1576690449 2627817415 3246127395 3678944381 7883452245 8934579211 11036833143 18394721905 26803737633 44672896055 55184165715 62542054477 134018688165 187626163431 312710272385 938130817155