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48440145960 = 2333556517937
BaseRepresentation
bin101101000111010000…
…011111100000101000
311122000212200101011000
4231013100133200220
51243201134132320
634130400235000
73333251306223
oct550720374050
9148025611130
1048440145960
11195a8221688
12947a60ba60
13474c85207b
1424b74ca5ba
1513d7975c90
hexb4741f828

48440145960 has 128 divisors (see below), whose sum is σ = 161516073600. Its totient is φ = 12913459200.

The previous prime is 48440145907. The next prime is 48440145961. The reversal of 48440145960 is 6954104484.

48440145960 is a `hidden beast` number, since 4 + 8 + 4 + 40 + 14 + 596 + 0 = 666.

It is a super-2 number, since 2×484401459602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (48440145961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6099112 + ... + 6107048.

It is an arithmetic number, because the mean of its divisors is an integer number (1261844325).

Almost surely, 248440145960 is an apocalyptic number.

48440145960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48440145960 is an abundant number, since it is smaller than the sum of its proper divisors (113075927640).

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

48440145960 is a wasteful number, since it uses less digits than its factorization.

48440145960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13608 (or 13598 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 48440145960 in words is "forty-eight billion, four hundred forty million, one hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 5651 7937 11302 15874 16953 22604 23811 28255 31748 33906 39685 45208 47622 50859 56510 63496 67812 71433 79370 84765 95244 101718 113020 119055 135624 142866 152577 158740 169530 190488 203436 214299 226040 238110 254295 285732 305154 317480 339060 357165 406872 428598 476220 508590 571464 610308 678120 714330 762885 857196 952440 1017180 1071495 1220616 1428660 1525770 1714392 2034360 2142990 2857320 3051540 4285980 6103080 8571960 44851987 89703974 134555961 179407948 224259935 269111922 358815896 403667883 448519870 538223844 672779805 807335766 897039740 1076447688 1211003649 1345559610 1614671532 1794079480 2018339415 2422007298 2691119220 3229343064 4036678830 4844014596 5382238440 6055018245 8073357660 9688029192 12110036490 16146715320 24220072980 48440145960