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9138978960 = 2435113336983
BaseRepresentation
bin10001000001011100…
…11100000010010000
3212120220121020022020
420200232130002100
5122204034311320
64110504011440
7442321016346
oct104056340220
925526536266
109138978960
11396a796181
121930760b80
13b284c0977
14629a71996
153874d0940
hex220b9c090

9138978960 has 80 divisors (see below), whose sum is σ = 28581634944. Its totient is φ = 2415486976.

The previous prime is 9138978943. The next prime is 9138978977. The reversal of 9138978960 is 698798319.

It is an interprime number because it is at equal distance from previous prime (9138978943) and next prime (9138978977).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 9138978894 and 9138978903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141372 + ... + 195611.

Almost surely, 29138978960 is an apocalyptic number.

It is an amenable number.

9138978960 is an abundant number, since it is smaller than the sum of its proper divisors (19442655984).

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

9138978960 is a wasteful number, since it uses less digits than its factorization.

9138978960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337112 (or 337106 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 60.

The square root of 9138978960 is about 95598.0070921983. The cubic root of 9138978960 is about 2090.7361371383.

The spelling of 9138978960 in words is "nine billion, one hundred thirty-eight million, nine hundred seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1808 2260 2712 3390 4520 5424 6780 9040 13560 27120 336983 673966 1010949 1347932 1684915 2021898 2695864 3369830 4043796 5054745 5391728 6739660 8087592 10109490 13479320 16175184 20218980 26958640 38079079 40437960 76158158 80875920 114237237 152316316 190395395 228474474 304632632 380790790 456948948 571186185 609265264 761581580 913897896 1142372370 1523163160 1827795792 2284744740 3046326320 4569489480 9138978960