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82358228328 = 233233893169
BaseRepresentation
bin100110010110011101…
…1101101010101101000
321212120200112111002220
41030230323231111220
52322132201301303
6101500154354040
75643625250565
oct1145473552550
9255520474086
1082358228328
1131a23088a12
1213b6572b920
1379c68866ac
143db404386c
152220543053
hex132ceed568

82358228328 has 128 divisors (see below), whose sum is σ = 217740960000. Its totient is φ = 25955905536.

The previous prime is 82358228317. The next prime is 82358228347. The reversal of 82358228328 is 82382285328.

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, 25987128 + ... + 25990296.

It is an arithmetic number, because the mean of its divisors is an integer number (1701101250).

Almost surely, 282358228328 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 82358228328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108870480000).

82358228328 is an abundant number, since it is smaller than the sum of its proper divisors (135382731672).

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

82358228328 is a wasteful number, since it uses less digits than its factorization.

82358228328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3286 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 51.

The spelling of 82358228328 in words is "eighty-two billion, three hundred fifty-eight million, two hundred twenty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 89 92 138 178 184 267 276 356 529 534 552 712 1058 1068 1587 2047 2116 2136 3169 3174 4094 4232 6141 6338 6348 8188 9507 12167 12282 12676 12696 16376 19014 24334 24564 25352 36501 38028 47081 48668 49128 72887 73002 76056 94162 97336 141243 145774 146004 188324 218661 282041 282486 291548 292008 376648 437322 564082 564972 583096 846123 874644 1082863 1128164 1129944 1676401 1692246 1749288 2165726 2256328 3248589 3352802 3384492 4331452 5029203 6486943 6497178 6705604 6768984 8662904 10058406 12973886 12994356 13411208 19460829 20116812 25947772 25988712 38557223 38921658 40233624 51895544 77114446 77843316 115671669 149199689 154228892 155686632 231343338 298399378 308457784 447599067 462686676 596798756 895198134 925373352 1193597512 1790396268 3431592847 3580792536 6863185694 10294778541 13726371388 20589557082 27452742776 41179114164 82358228328