Search a number
-
+
38629463686368 = 253795093547427
BaseRepresentation
bin10001100100010000111110…
…11101011111110011100000
312001202221101202001120012220
420302020133131133303200
520030401120200430433
6214054044114351040
711064613056432642
oct1062103735376340
9161687352046186
1038629463686368
1111343733201505
1243ba79528b480
131872986bc7c49
14977966dcc892
1546ec935982b3
hex23221f75fce0

38629463686368 has 48 divisors (see below), whose sum is σ = 102685916148480. Its totient is φ = 12713494375296.

The previous prime is 38629463686343. The next prime is 38629463686393. The reversal of 38629463686368 is 86368636492683.

It is an interprime number because it is at equal distance from previous prime (38629463686343) and next prime (38629463686393).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 38629463686293 and 38629463686302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2546766130 + ... + 2546781297.

It is an arithmetic number, because the mean of its divisors is an integer number (2139289919760).

Almost surely, 238629463686368 is an apocalyptic number.

It is an amenable number.

38629463686368 is an abundant number, since it is smaller than the sum of its proper divisors (64056452462112).

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

38629463686368 is a wasteful number, since it uses less digits than its factorization.

38629463686368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5093547519 (or 5093547511 counting only the distinct ones).

The product of its digits is 7739670528, while the sum is 78.

The spelling of 38629463686368 in words is "thirty-eight trillion, six hundred twenty-nine billion, four hundred sixty-three million, six hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 5093547427 10187094854 15280642281 20374189708 30561284562 40748379416 61122569124 81496758832 122245138248 162993517664 244490276496 402390246733 488980552992 804780493466 1207170740199 1609560986932 2414341480398 3219121973864 4828682960796 6438243947728 9657365921592 12876487895456 19314731843184 38629463686368