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99468325248 = 273899193167
BaseRepresentation
bin101110010100011000…
…1100011000110000000
3100111202010012110121020
41130220301203012000
53112202342401443
6113410051225440
710120626546225
oct1345061430600
9314663173536
1099468325248
1139203304a86
121733b8a8280
1394c26172b6
144b585c194c
1528c2716583
hex1728c63180

99468325248 has 128 divisors (see below), whose sum is σ = 267556608000. Its totient is φ = 32737554432.

The previous prime is 99468325237. The next prime is 99468325267. The reversal of 99468325248 is 84252386499.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 99468325191 and 99468325200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31406161 + ... + 31409327.

It is an arithmetic number, because the mean of its divisors is an integer number (2090286000).

Almost surely, 299468325248 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 99468325248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133778304000).

99468325248 is an abundant number, since it is smaller than the sum of its proper divisors (168088282752).

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

99468325248 is a wasteful number, since it uses less digits than its factorization.

99468325248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192 (or 4180 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 60.

The spelling of 99468325248 in words is "ninety-nine billion, four hundred sixty-eight million, three hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 267 356 384 534 712 919 1068 1424 1838 2136 2757 2848 3167 3676 4272 5514 5696 6334 7352 8544 9501 11028 11392 12668 14704 17088 19002 22056 25336 29408 34176 38004 44112 50672 58816 76008 81791 88224 101344 117632 152016 163582 176448 202688 245373 281863 304032 327164 352896 405376 490746 563726 608064 654328 845589 981492 1127452 1216128 1308656 1691178 1962984 2254904 2617312 2910473 3382356 3925968 4509808 5234624 5820946 6764712 7851936 8731419 9019616 10469248 11641892 13529424 15703872 17462838 18039232 23283784 27058848 31407744 34925676 36078464 46567568 54117696 69851352 93135136 108235392 139702704 186270272 259032097 279405408 372540544 518064194 558810816 777096291 1036128388 1117621632 1554192582 2072256776 3108385164 4144513552 6216770328 8289027104 12433540656 16578054208 24867081312 33156108416 49734162624 99468325248