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96421601520 = 24325166980239
BaseRepresentation
bin101100111001100101…
…1001110000011110000
3100012212210020212100200
41121303023032003300
53034432412222040
6112143453315200
76652263042606
oct1316313160360
9305783225320
1096421601520
113798a531392
121682b495b00
1391283539aa
144949ad5876
152794ee3630
hex16732ce0f0

96421601520 has 120 divisors (see below), whose sum is σ = 324013934400. Its totient is φ = 25696700928.

The previous prime is 96421601467. The next prime is 96421601579. The reversal of 96421601520 is 2510612469.

96421601520 is a `hidden beast` number, since 9 + 6 + 4 + 21 + 601 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1161561 + ... + 1241799.

It is an arithmetic number, because the mean of its divisors is an integer number (2700116120).

Almost surely, 296421601520 is an apocalyptic number.

96421601520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96421601520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162006967200).

96421601520 is an abundant number, since it is smaller than the sum of its proper divisors (227592332880).

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

96421601520 is a wasteful number, since it uses less digits than its factorization.

96421601520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81927 (or 81918 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 96421601520 in words is "ninety-six billion, four hundred twenty-one million, six hundred one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1669 3338 5007 6676 8345 10014 13352 15021 16690 20028 25035 26704 30042 33380 40056 50070 60084 66760 75105 80112 80239 100140 120168 133520 150210 160478 200280 240336 240717 300420 320956 400560 401195 481434 600840 641912 722151 802390 962868 1201680 1203585 1283824 1444302 1604780 1925736 2407170 2888604 3209560 3610755 3851472 4814340 5777208 6419120 7221510 9628680 11554416 14443020 19257360 28886040 57772080 133918891 267837782 401756673 535675564 669594455 803513346 1071351128 1205270019 1339188910 1607026692 2008783365 2142702256 2410540038 2678377820 3214053384 4017566730 4821080076 5356755640 6026350095 6428106768 8035133460 9642160152 10713511280 12052700190 16070266920 19284320304 24105400380 32140533840 48210800760 96421601520