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25540031132 = 22711313597451
BaseRepresentation
bin10111110010010011…
…011111001010011100
32102220221002000020222
4113302103133022130
5404301221444012
615422151300512
71562622453110
oct276223371234
972827060228
1025540031132
11a916755450
124b4937a738
132540396375
141343d9d740
159e72e6972
hex5f24df29c

25540031132 has 96 divisors (see below), whose sum is σ = 57689210880. Its totient is φ = 9601560000.

The previous prime is 25540031117. The next prime is 25540031137. The reversal of 25540031132 is 23113004552.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25540031137) 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, 3424007 + ... + 3431457.

It is an arithmetic number, because the mean of its divisors is an integer number (600929280).

Almost surely, 225540031132 is an apocalyptic number.

25540031132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25540031132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28844605440).

25540031132 is an abundant number, since it is smaller than the sum of its proper divisors (32149179748).

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

25540031132 is a wasteful number, since it uses less digits than its factorization.

25540031132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7863 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 25540031132 its reverse (23113004552), we get a palindrome (48653035684).

The spelling of 25540031132 in words is "twenty-five billion, five hundred forty million, thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 359 434 682 718 868 1364 1436 2387 2513 3949 4774 5026 7451 7898 9548 10052 11129 14902 15796 22258 27643 29804 44516 52157 55286 77903 81961 104314 110572 122419 155806 163922 208628 230981 244838 311612 327844 461962 489676 573727 856933 923924 1147454 1616867 1713866 2294908 2540791 2674909 3233734 3427732 5081582 5349818 6467468 10163164 10699636 17785537 18724363 29423999 35571074 37448726 58847998 71142148 74897452 82922179 117695996 165844358 205967993 331688716 411935986 580455253 823871972 912143969 1160910506 1824287938 2321821012 3648575876 6385007783 12770015566 25540031132