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22947542672 = 2431373074073
BaseRepresentation
bin10101010111110001…
…111011011010010000
32012020020211221122212
4111113301323122100
5333444032331142
614313021251252
71441442615525
oct252761733220
965206757585
1022947542672
1198063204aa
124545103b28
132219253422
14117995514c
158e48ebd82
hex557c7b690

22947542672 has 80 divisors (see below), whose sum is σ = 47300639232. Its totient is φ = 10765716480.

The previous prime is 22947542671. The next prime is 22947542677. The reversal of 22947542672 is 27624574922.

It is a self number, because there is not a number n which added to its sum of digits gives 22947542672.

It is not an unprimeable number, because it can be changed into a prime (22947542671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5632028 + ... + 5636100.

Almost surely, 222947542672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22947542672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23650319616).

22947542672 is an abundant number, since it is smaller than the sum of its proper divisors (24353096560).

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

22947542672 is a wasteful number, since it uses less digits than its factorization.

22947542672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4450 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 50.

The spelling of 22947542672 in words is "twenty-two billion, nine hundred forty-seven million, five hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 31 37 62 74 124 148 248 296 307 496 592 614 1147 1228 2294 2456 4073 4588 4912 8146 9176 9517 11359 16292 18352 19034 22718 32584 38068 45436 65168 76136 90872 126263 150701 152272 181744 252526 301402 352129 505052 602804 704258 1010104 1205608 1250411 1408516 2020208 2411216 2500822 2817032 4671731 5001644 5634064 9343462 10003288 18686924 20006576 37373848 38762741 46265207 74747696 77525482 92530414 155050964 185060828 310101928 370121656 620203856 740243312 1434221417 2868442834 5736885668 11473771336 22947542672