Search a number
-
+
10315446212256 = 253163733656267
BaseRepresentation
bin1001011000011100000010…
…0000011101011010100000
31100112010222011221011101220
42112013000200131122200
52323002013212243011
633534503420055040
72113160242041513
oct226070040353240
940463864834356
1010315446212256
113317835511199
1211a7252094480
1359a9860a4aa3
142793ad848d7a
1512d4dd6a7506
hex961c081d6a0

10315446212256 has 48 divisors (see below), whose sum is σ = 27078252947424. Its totient is φ = 3438455830784.

The previous prime is 10315446212249. The next prime is 10315446212261. The reversal of 10315446212256 is 65221264451301.

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

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, 15390235 + ... + 16046501.

It is an arithmetic number, because the mean of its divisors is an integer number (564130269738).

Almost surely, 210315446212256 is an apocalyptic number.

10315446212256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10315446212256 is an abundant number, since it is smaller than the sum of its proper divisors (16762806735168).

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

10315446212256 is a wasteful number, since it uses less digits than its factorization.

10315446212256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820013 (or 820005 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 10315446212256 in words is "ten trillion, three hundred fifteen billion, four hundred forty-six million, two hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163733 327466 491199 654932 656267 982398 1309864 1312534 1964796 1968801 2619728 2625068 3929592 3937602 5239456 5250136 7859184 7875204 10500272 15718368 15750408 21000544 31500816 63001632 107452564711 214905129422 322357694133 429810258844 644715388266 859620517688 1289430776532 1719241035376 2578861553064 3438482070752 5157723106128 10315446212256