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10348700952 = 2334383120817
BaseRepresentation
bin10011010001101010…
…01010010100011000
3222201012220110220110
421220311022110120
5132143231412302
64430520324320
7514310335542
oct115065122430
928635813813
1010348700952
114430632217
1220099136a0
13c8c00a2b5
147025b2692
154087dbb6c
hex268d4a518

10348700952 has 64 divisors (see below), whose sum is σ = 26792599680. Its totient is φ = 3328722432.

The previous prime is 10348700951. The next prime is 10348700963. The reversal of 10348700952 is 25900784301.

It is a super-2 number, since 2×103487009522 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10348700952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10348700951) 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, 25248 + ... + 146064.

It is an arithmetic number, because the mean of its divisors is an integer number (418634370).

Almost surely, 210348700952 is an apocalyptic number.

10348700952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10348700952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13396299840).

10348700952 is an abundant number, since it is smaller than the sum of its proper divisors (16443898728).

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

10348700952 is a wasteful number, since it uses less digits than its factorization.

10348700952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120952 (or 120948 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 10348700952 in words is "ten billion, three hundred forty-eight million, seven hundred thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 43 83 86 129 166 172 249 258 332 344 498 516 664 996 1032 1992 3569 7138 10707 14276 21414 28552 42828 85656 120817 241634 362451 483268 724902 966536 1449804 2899608 5195131 10027811 10390262 15585393 20055622 20780524 30083433 31170786 40111244 41561048 60166866 62341572 80222488 120333732 124683144 240667464 431195873 862391746 1293587619 1724783492 2587175238 3449566984 5174350476 10348700952