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88269381340 = 22574118184961
BaseRepresentation
bin101001000110101000…
…0111101111011011100
322102211122102011121221
41102031100331323130
52421233430200330
6104314515103124
76243253235050
oct1221520757334
9272748364557
1088269381340
1134486845738
12151352a1aa4
13842941527a
1443b5125c60
15246947ab7a
hex148d43dedc

88269381340 has 96 divisors (see below), whose sum is σ = 218215041408. Its totient is φ = 29362176000.

The previous prime is 88269381293. The next prime is 88269381377. The reversal of 88269381340 is 4318396288.

It is a super-3 number, since 3×882693813403 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 996460 + ... + 1081420.

It is an arithmetic number, because the mean of its divisors is an integer number (2273073348).

Almost surely, 288269381340 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 88269381340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109107520704).

88269381340 is an abundant number, since it is smaller than the sum of its proper divisors (129945660068).

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

88269381340 is a wasteful number, since it uses less digits than its factorization.

88269381340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85199 (or 85197 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 88269381340 in words is "eighty-eight billion, two hundred sixty-nine million, three hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 181 205 287 362 410 574 724 820 905 1148 1267 1435 1810 2534 2870 3620 5068 5740 6335 7421 12670 14842 25340 29684 37105 51947 74210 84961 103894 148420 169922 207788 259735 339844 424805 519470 594727 849610 1038940 1189454 1699220 2378908 2973635 3483401 5947270 6966802 11894540 13933604 15377941 17417005 24383807 30755882 34834010 48767614 61511764 69668020 76889705 97535228 107645587 121919035 153779410 215291174 243838070 307558820 430582348 487676140 538227935 630495581 1076455870 1260991162 2152911740 2521982324 3152477905 4413469067 6304955810 8826938134 12609911620 17653876268 22067345335 44134690670 88269381340