Search a number
-
+
742070157102176 = 25731523204330673
BaseRepresentation
bin1010100010111010001010110…
…0000111001100110001100000
310121022110012210010221121211012
42220232202230013030301200
51234231034140204232201
611150130153550440052
7312206541160513640
oct25056425407146140
93538405703847735
10742070157102176
111a54a0205a56251
126b28a202203028
1325b0abb96137a6
14d13655c838520
155abce3397b5bb
hex2a2e8ac1ccc60

742070157102176 has 96 divisors (see below), whose sum is σ = 1726813237782528. Its totient is φ = 307182559057920.

The previous prime is 742070157102143. The next prime is 742070157102289. The reversal of 742070157102176 is 671201751070247.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98533625 + ... + 105797048.

It is an arithmetic number, because the mean of its divisors is an integer number (17987637893568).

Almost surely, 2742070157102176 is an apocalyptic number.

It is an amenable number.

742070157102176 is an abundant number, since it is smaller than the sum of its proper divisors (984743080680352).

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

742070157102176 is a wasteful number, since it uses less digits than its factorization.

742070157102176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204331244 (or 204331236 counting only the distinct ones).

The product of its (nonzero) digits is 1152480, while the sum is 50.

The spelling of 742070157102176 in words is "seven hundred forty-two trillion, seventy billion, one hundred fifty-seven million, one hundred two thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 523 868 992 1046 1736 2092 3472 3661 4184 6944 7322 8368 14644 16213 16736 29288 32426 58576 64852 113491 117152 129704 226982 259408 453964 518816 907928 1815856 3631712 204330673 408661346 817322692 1430314711 1634645384 2860629422 3269290768 5721258844 6334250863 6538581536 11442517688 12668501726 22885035376 25337003452 44339756041 45770070752 50674006904 88679512082 101348013808 106864941979 177359024164 202696027616 213729883958 354718048328 427459767916 709436096656 748054593853 854919535832 1418872193312 1496109187706 1709839071664 2992218375412 3312813201349 3419678143328 5984436750824 6625626402698 11968873501648 13251252805396 23189692409443 23937747003296 26502505610792 46379384818886 53005011221584 92758769637772 106010022443168 185517539275544 371035078551088 742070157102176