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10315789248 = 2632315714879
BaseRepresentation
bin10011001101101111…
…00111001111000000
3222121220222101112110
421212313213033000
5132111320223443
64423343055320
7513430522212
oct114667471700
928556871473
1010315789248
114413aa3166
121bba8a1540
13c85255c0b
146dc0865b2
1540598a233
hex266de73c0

10315789248 has 112 divisors (see below), whose sum is σ = 28663879680. Its totient is φ = 3267922944.

The previous prime is 10315789241. The next prime is 10315789277. The reversal of 10315789248 is 84298751301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 10315789197 and 10315789206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10315789241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685873 + ... + 700751.

Almost surely, 210315789248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10315789248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14331939840).

10315789248 is an abundant number, since it is smaller than the sum of its proper divisors (18348090432).

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

10315789248 is a wasteful number, since it uses less digits than its factorization.

10315789248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15074 (or 15064 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 10315789248 in words is "ten billion, three hundred fifteen million, seven hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 157 184 192 276 314 368 471 552 628 736 942 1104 1256 1472 1884 2208 2512 3611 3768 4416 5024 7222 7536 10048 10833 14444 14879 15072 21666 28888 29758 30144 43332 44637 57776 59516 86664 89274 115552 119032 173328 178548 231104 238064 342217 346656 357096 476128 684434 693312 714192 952256 1026651 1368868 1428384 2053302 2336003 2737736 2856768 4106604 4672006 5475472 7008009 8213208 9344012 10950944 14016018 16426416 18688024 21901888 28032036 32852832 37376048 53728069 56064072 65705664 74752096 107456138 112128144 149504192 161184207 214912276 224256288 322368414 429824552 448512576 644736828 859649104 1289473656 1719298208 2578947312 3438596416 5157894624 10315789248