Search a number
-
+
29137851630 = 2335472296127
BaseRepresentation
bin11011001000110000…
…000101010011101110
32210012200000020011000
4123020300011103232
5434133242223010
621215153141130
72051030436516
oct331060052356
983180006130
1029137851630
11113a2615218
12579225a7a6
132994892434
1415a5b42846
15b580c77c0
hex6c8c054ee

29137851630 has 64 divisors (see below), whose sum is σ = 79354183680. Its totient is φ = 7604769312.

The previous prime is 29137851577. The next prime is 29137851653. The reversal of 29137851630 is 3615873192.

29137851630 is a `hidden beast` number, since 2 + 9 + 1 + 3 + 7 + 8 + 5 + 1 + 630 = 666.

It is a super-2 number, since 2×291378516302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1135374 + ... + 1160753.

It is an arithmetic number, because the mean of its divisors is an integer number (1239909120).

Almost surely, 229137851630 is an apocalyptic number.

29137851630 is an abundant number, since it is smaller than the sum of its proper divisors (50216332050).

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

29137851630 is a wasteful number, since it uses less digits than its factorization.

29137851630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296190 (or 2296184 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 29137851630 in words is "twenty-nine billion, one hundred thirty-seven million, eight hundred fifty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 705 846 1269 1410 2115 2538 4230 6345 12690 2296127 4592254 6888381 11480635 13776762 20665143 22961270 34441905 41330286 61995429 68883810 103325715 107917969 123990858 206651430 215835938 309977145 323753907 539589845 619954290 647507814 971261721 1079179690 1618769535 1942523442 2913785163 3237539070 4856308605 5827570326 9712617210 14568925815 29137851630