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90647922876 = 22372995339047
BaseRepresentation
bin101010001101100001…
…0011000100010111100
322122222102001121012220
41110123002120202330
52441121332013001
6105350523325340
76356224426350
oct1243302304274
9278872047186
1090647922876
1135497431145
1215699980850
1387181299b4
14455cd9b460
1525581b3c36
hex151b0988bc

90647922876 has 96 divisors (see below), whose sum is σ = 250332042240. Its totient is φ = 24979444224.

The previous prime is 90647922817. The next prime is 90647922877. The reversal of 90647922876 is 67822974609.

It is a super-3 number, since 3×906479228763 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90647922877) 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, 2301985 + ... + 2341031.

It is an arithmetic number, because the mean of its divisors is an integer number (2607625440).

Almost surely, 290647922876 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 90647922876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125166021120).

90647922876 is an abundant number, since it is smaller than the sum of its proper divisors (159684119364).

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

90647922876 is a wasteful number, since it uses less digits than its factorization.

90647922876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40043 (or 40041 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 90647922876 in words is "ninety billion, six hundred forty-seven million, nine hundred twenty-two thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 953 1218 1906 2436 2859 3812 5718 6671 11436 13342 20013 26684 27637 39047 40026 55274 78094 80052 82911 110548 117141 156188 165822 193459 234282 273329 331644 386918 468564 546658 580377 773836 819987 1093316 1132363 1160754 1639974 2264726 2321508 3279948 3397089 4529452 6794178 7926541 13588356 15853082 23779623 31706164 37211791 47559246 74423582 95118492 111635373 148847164 223270746 260482537 446541492 520965074 781447611 1041930148 1079141939 1562895222 2158283878 3125790444 3237425817 4316567756 6474851634 7553993573 12949703268 15107987146 22661980719 30215974292 45323961438 90647922876