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83992119624160 = 25511229149601239
BaseRepresentation
bin10011000110001111110000…
…011101000100000111100000
3102000101120100020020011011021
4103012033300131010013200
542002111330110433120
6454345240322455224
723456142011050666
oct2306176035040740
9360346306204137
1083992119624160
1124842948948800
12950629ab04514
1337b356613c667
1416a5351488c36
159a9c63b77aaa
hex4c63f07441e0

83992119624160 has 144 divisors (see below), whose sum is σ = 225631582192800. Its totient is φ = 29489396034560.

The previous prime is 83992119624079. The next prime is 83992119624163. The reversal of 83992119624160 is 6142691129938.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83992119624163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74239180 + ... + 75362059.

It is an arithmetic number, because the mean of its divisors is an integer number (1566885987450).

Almost surely, 283992119624160 is an apocalyptic number.

83992119624160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83992119624160 is an abundant number, since it is smaller than the sum of its proper divisors (141639462568640).

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

83992119624160 is a wasteful number, since it uses less digits than its factorization.

83992119624160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149601305 (or 149601286 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 61.

The spelling of 83992119624160 in words is "eighty-three trillion, nine hundred ninety-two billion, one hundred nineteen million, six hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 80 88 110 116 121 145 160 176 220 232 242 290 319 352 440 464 484 580 605 638 880 928 968 1160 1210 1276 1595 1760 1936 2320 2420 2552 3190 3509 3872 4640 4840 5104 6380 7018 9680 10208 12760 14036 17545 19360 25520 28072 35090 51040 56144 70180 112288 140360 280720 561440 149601239 299202478 598404956 748006195 1196809912 1496012390 1645613629 2393619824 2992024780 3291227258 4338435931 4787239648 5984049560 6582454516 8228068145 8676871862 11968099120 13164909032 16456136290 17353743724 18101749919 21692179655 23936198240 26329818064 32912272580 34707487448 36203499838 43384359310 47722795241 52659636128 65824545160 69414974896 72406999676 86768718620 90508749595 95445590482 131649090320 138829949792 144813999352 173537437240 181017499190 190891180964 238613976205 263298180640 289627998704 347074874480 362034998380 381782361928 477227952410 524950747651 579255997408 694149748960 724069996760 763564723856 954455904820 1049901495302 1448139993520 1527129447712 1908911809640 2099802990604 2624753738255 2896279987040 3817823619280 4199605981208 5249507476510 7635647238560 8399211962416 10499014953020 16798423924832 20998029906040 41996059812080 83992119624160