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211157470340 = 225232113239739
BaseRepresentation
bin1100010010100111110…
…1110100110010000100
3202012000221000220102122
43010221331310302010
511424422303022330
6241000541225112
721153451612025
oct3045175646204
9665027026378
10211157470340
1181607983873
1234b10262198
1316bb1a5ca2b
14a311c62c4c
15575cc6b5e5
hex3129f74c84

211157470340 has 144 divisors (see below), whose sum is σ = 470242886400. Its totient is φ = 79632774144.

The previous prime is 211157470327. The next prime is 211157470357. The reversal of 211157470340 is 43074751112.

It is a self number, because there is not a number n which added to its sum of digits gives 211157470340.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285733691 + ... + 285734429.

It is an arithmetic number, because the mean of its divisors is an integer number (3265575600).

Almost surely, 2211157470340 is an apocalyptic number.

211157470340 is a gapful number since it is divisible by the number (20) 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 211157470340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235121443200).

211157470340 is an abundant number, since it is smaller than the sum of its proper divisors (259085416060).

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

211157470340 is a wasteful number, since it uses less digits than its factorization.

211157470340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 211157470340 in words is "two hundred eleven billion, one hundred fifty-seven million, four hundred seventy thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 113 115 226 230 239 452 460 478 529 565 739 956 1058 1130 1195 1478 2116 2260 2390 2599 2645 2956 3695 4780 5198 5290 5497 7390 10396 10580 10994 12995 14780 16997 21988 25990 27007 27485 33994 51980 54014 54970 59777 67988 83507 84985 108028 109940 119554 126431 135035 167014 169970 176621 239108 252862 270070 298885 334028 339940 353242 390931 417535 505724 540140 597770 621161 632155 706484 781862 835070 883105 1195540 1242322 1264310 1563724 1670140 1766210 1920661 1954655 2484644 2528620 3105805 3532420 3841322 3909310 4062283 6211610 7682644 7818620 8124566 9603305 12423220 14286703 16249132 19206610 19958173 20311415 28573406 38413220 39916346 40622830 44175203 57146812 71433515 79832692 81245660 88350406 93432509 99790865 142867030 176700812 186865018 199581730 220876015 285734060 373730036 399163460 441752030 459037979 467162545 883504060 918075958 934325090 1836151916 1868650180 2295189895 4590379790 9180759580 10557873517 21115747034 42231494068 52789367585 105578735170 211157470340