Search a number
-
+
631541257902 = 232313779387203
BaseRepresentation
bin10010011000010101100…
…10101101011010101110
32020101010012021222020100
421030022302231122232
540321344030223102
61202043120531530
763425116056102
oct11141262553256
92211105258210
10631541257902
11223920637495
12a2491a80ba6
134772842bb19
14227d1291902
1511663e40a1c
hex930acad6ae

631541257902 has 96 divisors (see below), whose sum is σ = 1469020999680. Its totient is φ = 195707378880.

The previous prime is 631541257877. The next prime is 631541257909. The reversal of 631541257902 is 209752145136.

631541257902 is a `hidden beast` number, since 6 + 31 + 5 + 41 + 2 + 579 + 0 + 2 = 666.

631541257902 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631541257909) 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, 1437433 + ... + 1824635.

It is an arithmetic number, because the mean of its divisors is an integer number (15302302080).

Almost surely, 2631541257902 is an apocalyptic number.

631541257902 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 631541257902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734510499840).

631541257902 is an abundant number, since it is smaller than the sum of its proper divisors (837479741778).

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

631541257902 is a wasteful number, since it uses less digits than its factorization.

631541257902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387358 (or 387355 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 631541257902 in words is "six hundred thirty-one billion, five hundred forty-one million, two hundred fifty-seven thousand, nine hundred two".

Divisors: 1 2 3 6 9 18 31 37 62 74 79 93 111 158 186 222 237 279 333 474 558 666 711 1147 1422 2294 2449 2923 3441 4898 5846 6882 7347 8769 10323 14694 17538 20646 22041 26307 44082 52614 90613 181226 271839 387203 543678 774406 815517 1161609 1631034 2323218 3484827 6969654 12003293 14326511 24006586 28653022 30589037 36009879 42979533 61178074 72019758 85959066 91767111 108029637 128938599 183534222 216059274 257877198 275301333 444121841 550602666 888243682 948260147 1131794369 1332365523 1896520294 2263588738 2664731046 2844780441 3395383107 3997096569 5689560882 6790766214 7994193138 8534341323 10186149321 17068682646 20372298642 35085625439 70171250878 105256876317 210513752634 315770628951 631541257902