Search a number
-
+
811913609712 = 2431919910934093
BaseRepresentation
bin10111101000010011101…
…00101000000111110000
32212121200122200211010210
423310021310220013300
5101300244341002322
61420553222224120
7112441655546022
oct13641164500760
92777618624123
10811913609712
11293370080037
12111430285040
135b74225428a
142b4226d6012
15161be19a70c
hexbd09d281f0

811913609712 has 160 divisors (see below), whose sum is σ = 2221502656000. Its totient is φ = 254809691136.

The previous prime is 811913609687. The next prime is 811913609737. The reversal of 811913609712 is 217906319118.

It is an interprime number because it is at equal distance from previous prime (811913609687) and next prime (811913609737).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 198364338 + ... + 198368430.

It is an arithmetic number, because the mean of its divisors is an integer number (13884391600).

Almost surely, 2811913609712 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 811913609712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110751328000).

811913609712 is an abundant number, since it is smaller than the sum of its proper divisors (1409589046288).

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

811913609712 is a wasteful number, since it uses less digits than its factorization.

811913609712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5415 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 48.

The spelling of 811913609712 in words is "eight hundred eleven billion, nine hundred thirteen million, six hundred nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 199 228 304 398 456 597 796 912 1093 1194 1592 2186 2388 3184 3279 3781 4093 4372 4776 6558 7562 8186 8744 9552 11343 12279 13116 15124 16372 17488 20767 22686 24558 26232 30248 32744 41534 45372 49116 52464 60496 62301 65488 77767 83068 90744 98232 124602 155534 166136 181488 196464 217507 233301 249204 311068 332272 435014 466602 498408 622136 652521 814507 870028 933204 996816 1244272 1305042 1629014 1740056 1866408 2443521 2610084 3258028 3480112 3732816 4132633 4473649 4887042 5220168 6516056 8265266 8947298 9774084 10440336 12397899 13032112 13420947 15475633 16530532 17894596 19548168 24795798 26841894 30951266 33061064 35789192 39096336 46426899 49591596 53683788 61902532 66122128 71578384 84999331 92853798 99183192 107367576 123805064 169998662 185707596 198366384 214735152 247610128 254997993 339997324 371415192 509995986 679994648 742830384 890256151 1019991972 1359989296 1780512302 2039983944 2670768453 3561024604 4079967888 5341536906 7122049208 10683073812 14244098416 16914866869 21366147624 33829733738 42732295248 50744600607 67659467476 101489201214 135318934952 202978402428 270637869904 405956804856 811913609712