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213151250466 = 233711367139681
BaseRepresentation
bin1100011010000011001…
…1011111100000100010
3202101011212200102121000
43012200303133200202
511443013210003331
6241530443012430
721254041510050
oct3064063374042
9671155612530
10213151250466
1182440362340
1235387b0a116
131713bb39c9b
14a46097d1d0
155827d010e6
hex31a0cdf822

213151250466 has 128 divisors (see below), whose sum is σ = 592162283520. Its totient is φ = 55212710400.

The previous prime is 213151250443. The next prime is 213151250503. The reversal of 213151250466 is 664052151312.

213151250466 is a `hidden beast` number, since 2 + 1 + 31 + 512 + 50 + 4 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 213151250466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1456146 + ... + 1595826.

It is an arithmetic number, because the mean of its divisors is an integer number (4626267840).

Almost surely, 2213151250466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213151250466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296081141760).

213151250466 is an abundant number, since it is smaller than the sum of its proper divisors (379011033054).

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

213151250466 is a wasteful number, since it uses less digits than its factorization.

213151250466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140077 (or 140071 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 213151250466 in words is "two hundred thirteen billion, one hundred fifty-one million, two hundred fifty thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 367 378 462 594 693 734 1101 1386 2079 2202 2569 3303 4037 4158 5138 6606 7707 8074 9909 12111 15414 19818 23121 24222 28259 36333 46242 56518 69363 72666 84777 108999 138726 139681 169554 217998 254331 279362 419043 508662 762993 838086 977767 1257129 1525986 1536491 1955534 2514258 2933301 3072982 3771387 4609473 5866602 7542774 8799903 9218946 10755437 13828419 17599806 21510874 26399709 27656838 32266311 41485257 51262927 52799418 64532622 82970514 96798933 102525854 153788781 193597866 290396799 307577562 358840489 461366343 563892197 580793598 717680978 922732686 1076521467 1127784394 1384099029 1691676591 2153042934 2768198058 3229564401 3383353182 3947245379 5075029773 6459128802 7894490758 9688693203 10150059546 11841736137 15225089319 19377386406 23683472274 30450178638 35525208411 71050416822 106575625233 213151250466