Search a number
-
+
19000402696 = 23113141257661
BaseRepresentation
bin10001101100100000…
…110010001100001000
31211001011121110112101
4101230200302030020
5302403100341241
612421220323144
71241563521022
oct215440621410
954034543471
1019000402696
118070260850
1238232434b4
131a3a57bb42
14cc3641012
15763118e31
hex46c832308

19000402696 has 128 divisors (see below), whose sum is σ = 41318968320. Its totient is φ = 8110080000.

The previous prime is 19000402693. The next prime is 19000402709. The reversal of 19000402696 is 69620400091.

It is a super-2 number, since 2×190004026962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19000402693) 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, 28744606 + ... + 28745266.

It is an arithmetic number, because the mean of its divisors is an integer number (322804440).

Almost surely, 219000402696 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 19000402696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20659484160).

19000402696 is an abundant number, since it is smaller than the sum of its proper divisors (22318565624).

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

19000402696 is a wasteful number, since it uses less digits than its factorization.

19000402696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 19000402696 in words is "nineteen billion, four hundred two thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 22 31 41 44 62 82 88 124 164 248 257 328 341 451 514 661 682 902 1028 1271 1322 1364 1804 2056 2542 2644 2728 2827 3608 5084 5288 5654 7271 7967 10168 10537 11308 13981 14542 15934 20491 21074 22616 27101 27962 29084 31868 40982 42148 54202 55924 58168 63736 81964 84296 87637 108404 111848 115907 163928 169877 175274 216808 225401 231814 298111 326647 339754 350548 450802 463628 596222 653294 679508 701096 840131 901604 927256 1192444 1306588 1359016 1680262 1803208 1868647 2384888 2613176 3360524 3593117 3737294 5266187 6721048 6964957 7186234 7474588 9241441 10532374 13929914 14372468 14949176 18482882 21064748 27859828 28744936 36965764 42129496 55719656 57928057 73931528 76614527 115856114 153229054 215913667 231712228 306458108 431827334 463424456 612916216 863654668 1727309336 2375050337 4750100674 9500201348 19000402696