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90887207376 = 24372382714221
BaseRepresentation
bin101010010100101001…
…1001011100111010000
322200121002022111211210
41110221103023213100
52442114111114001
6105430352140120
76365161341660
oct1245123134720
9280532274753
1090887207376
11355aa506129
1215745b37640
138755889c64
144582a881a0
15256e1ccdd6
hex15294cb9d0

90887207376 has 160 divisors (see below), whose sum is σ = 280358627328. Its totient is φ = 24806960640.

The previous prime is 90887207347. The next prime is 90887207377. The reversal of 90887207376 is 67370278809.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90887207377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6383946 + ... + 6398166.

Almost surely, 290887207376 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 90887207376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140179313664).

90887207376 is an abundant number, since it is smaller than the sum of its proper divisors (189471419952).

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

90887207376 is a wasteful number, since it uses less digits than its factorization.

90887207376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15089 (or 15083 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

The spelling of 90887207376 in words is "ninety billion, eight hundred eighty-seven million, two hundred seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 827 966 1104 1288 1654 1932 2481 2576 3308 3864 4962 5789 6616 7728 9924 11578 13232 14221 17367 19021 19848 23156 28442 34734 38042 39696 42663 46312 56884 57063 69468 76084 85326 92624 99547 113768 114126 133147 138936 152168 170652 199094 227536 228252 266294 277872 298641 304336 327083 341304 398188 399441 456504 532588 597282 654166 682608 796376 798882 913008 981249 1065176 1194564 1308332 1592752 1597764 1962498 2130352 2289581 2389128 2616664 3195528 3924996 4579162 4778256 5233328 6391056 6868743 7849992 9158324 11760767 13737486 15699984 18316648 23521534 27474972 35282301 36633296 47043068 54949944 70564602 82325369 94086136 109899888 141129204 164650738 188172272 246976107 270497641 282258408 329301476 493952214 540995282 564516816 658602952 811492923 987904428 1081990564 1317205904 1622985846 1893483487 1975808856 2163981128 3245971692 3786966974 3951617712 4327962256 5680450461 6491943384 7573933948 11360900922 12983886768 15147867896 22721801844 30295735792 45443603688 90887207376