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488948150268 = 2232197913169073
BaseRepresentation
bin1110001110101111001…
…01001010111111111100
31201202001122012120112200
413013113211022333330
531002331211302033
61012341503431500
750216406463164
oct7072745127774
91652048176480
10488948150268
111793a8536196
127a9178b5590
133715256b116
14199454d75a4
15caba751013
hex71d794affc

488948150268 has 144 divisors (see below), whose sum is σ = 1327547020800. Its totient is φ = 151284257280.

The previous prime is 488948150261. The next prime is 488948150293. The reversal of 488948150268 is 862051849884.

488948150268 is a `hidden beast` number, since 4 + 8 + 89 + 48 + 1 + 502 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488948150261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7044180 + ... + 7113252.

Almost surely, 2488948150268 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 488948150268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663773510400).

488948150268 is an abundant number, since it is smaller than the sum of its proper divisors (838598870532).

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

488948150268 is a wasteful number, since it uses less digits than its factorization.

488948150268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69312 (or 69307 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 488948150268 in words is "four hundred eighty-eight billion, nine hundred forty-eight million, one hundred fifty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 79 114 131 158 171 228 237 262 316 342 393 474 524 684 711 786 948 1179 1422 1501 1572 2358 2489 2844 3002 4503 4716 4978 6004 7467 9006 9956 10349 13509 14934 18012 20698 22401 27018 29868 31047 41396 44802 54036 62094 69073 89604 93141 124188 138146 186282 196631 207219 276292 372564 393262 414438 589893 621657 786524 828876 1179786 1243314 1312387 1769679 2359572 2486628 2624774 3539358 3937161 5249548 5456767 7078716 7874322 9048563 10913534 11811483 15748644 16370301 18097126 21827068 23622966 27145689 32740602 36194252 47245932 49110903 54291378 65481204 81437067 98221806 103678573 108582756 162874134 171922697 196443612 207357146 311035719 325748268 343845394 414714292 515768091 622071438 687690788 714836477 933107157 1031536182 1244142876 1429672954 1547304273 1866214314 2063072364 2144509431 2859345908 3094608546 3732428628 4289018862 6189217092 6433528293 8578037724 12867056586 13581893063 25734113172 27163786126 40745679189 54327572252 81491358378 122237037567 162982716756 244474075134 488948150268