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15420082152 = 23317611135483
BaseRepresentation
bin11100101110001101…
…11100011111101000
31110210122121100001210
432113012330133220
5223040020112102
611030041513120
71054060351506
oct162706743750
943718540053
1015420082152
1165a3263a52
122ba41a27a0
1315b989c287
14a63d35676
15603b4336c
hex3971bc7e8

15420082152 has 128 divisors (see below), whose sum is σ = 41861784960. Its totient is φ = 4715397120.

The previous prime is 15420082129. The next prime is 15420082157. The reversal of 15420082152 is 25128002451.

It is a super-2 number, since 2×154200821522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15420082157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2809603 + ... + 2815085.

It is an arithmetic number, because the mean of its divisors is an integer number (327045195).

Almost surely, 215420082152 is an apocalyptic number.

15420082152 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 15420082152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930892480).

15420082152 is an abundant number, since it is smaller than the sum of its proper divisors (26441702808).

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

15420082152 is a wasteful number, since it uses less digits than its factorization.

15420082152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5683 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 15420082152 in words is "fifteen billion, four hundred twenty million, eighty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 102 113 122 136 183 204 226 244 339 366 408 452 488 678 732 904 1037 1356 1464 1921 2074 2712 3111 3842 4148 5483 5763 6222 6893 7684 8296 10966 11526 12444 13786 15368 16449 20679 21932 23052 24888 27572 32898 41358 43864 46104 55144 65796 82716 93211 117181 131592 165432 186422 234362 279633 334463 351543 372844 468724 559266 619579 668926 703086 745688 937448 1003389 1118532 1239158 1337852 1406172 1858737 2006778 2237064 2478316 2675704 2812344 3717474 4013556 4956632 5685871 7434948 8027112 10532843 11371742 14869896 17057613 21065686 22743484 31598529 34115226 37794319 42131372 45486968 63197058 68230452 75588638 84262744 113382957 126394116 136460904 151177276 226765914 252788232 302354552 453531828 642503423 907063656 1285006846 1927510269 2570013692 3855020538 5140027384 7710041076 15420082152