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48264016140 = 22325436235661
BaseRepresentation
bin101100111100110000…
…100111000100001100
311121120121021001110100
4230330300213010030
51242321042004030
634101105211100
73326012240214
oct547460470414
9147517231410
1048264016140
111951786274a
12942b630a90
134722204942
14249bd5d244
1513c7284360
hexb3cc2710c

48264016140 has 72 divisors (see below), whose sum is σ = 149805543888. Its totient is φ = 12571090560.

The previous prime is 48264016139. The next prime is 48264016147. The reversal of 48264016140 is 4161046284.

It is a happy number.

48264016140 is a `hidden beast` number, since 4 + 8 + 2 + 640 + 1 + 6 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48264016095 and 48264016104.

It is not an unprimeable number, because it can be changed into a prime (48264016147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3110091 + ... + 3125570.

It is an arithmetic number, because the mean of its divisors is an integer number (2080632554).

Almost surely, 248264016140 is an apocalyptic number.

It is an amenable number.

48264016140 is an abundant number, since it is smaller than the sum of its proper divisors (101541527748).

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

48264016140 is a wasteful number, since it uses less digits than its factorization.

48264016140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6235719 (or 6235714 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 48264016140 in words is "forty-eight billion, two hundred sixty-four million, sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 6235661 12471322 18706983 24942644 31178305 37413966 56120949 62356610 74827932 93534915 112241898 124713220 187069830 224483796 268133423 280604745 374139660 536266846 561209490 804400269 1072533692 1122418980 1340667115 1608800538 2413200807 2681334230 3217601076 4022001345 4826401614 5362668460 8044002690 9652803228 12066004035 16088005380 24132008070 48264016140