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85418876620 = 225721114595431
BaseRepresentation
bin100111110001101011…
…1001001111011001100
322011110222200112021001
41033203113021323030
52344414213022440
6103124010550044
76112521320500
oct1174327117314
9264428615231
1085418876620
1133253802310
121467a738324
1380939b3c9c
1441c4716300
15234e0b6b9a
hex13e35c9ecc

85418876620 has 144 divisors (see below), whose sum is σ = 227833724160. Its totient is φ = 26600918400.

The previous prime is 85418876611. The next prime is 85418876657. The reversal of 85418876620 is 2667881458.

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 15725305 + ... + 15730735.

It is an arithmetic number, because the mean of its divisors is an integer number (1582178640).

Almost surely, 285418876620 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 85418876620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113916862080).

85418876620 is an abundant number, since it is smaller than the sum of its proper divisors (142414847540).

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

85418876620 is a wasteful number, since it uses less digits than its factorization.

85418876620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6924 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 55.

The spelling of 85418876620 in words is "eighty-five billion, four hundred eighteen million, eight hundred seventy-six thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1459 1540 2156 2695 2918 5390 5431 5836 7295 10213 10780 10862 14590 16049 20426 21724 27155 29180 32098 38017 40852 51065 54310 59741 64196 71491 76034 80245 102130 108620 112343 119482 142982 152068 160490 190085 204260 224686 238964 266119 285964 298705 320980 357455 380170 418187 449372 532238 561715 597410 714910 760340 786401 836374 1064476 1123430 1194820 1330595 1429820 1572802 1672748 2090935 2246860 2661190 2927309 3145604 3932005 4181870 5322380 5854618 7864010 7923829 8363740 11709236 14636545 15728020 15847658 29273090 31695316 39619145 55466803 58546180 79238290 87162119 110933606 158476580 174324238 221867212 277334015 348648476 388267621 435810595 554668030 610134833 776535242 871621190 1109336060 1220269666 1553070484 1743242380 1941338105 2440539332 3050674165 3882676210 4270943831 6101348330 7765352420 8541887662 12202696660 17083775324 21354719155 42709438310 85418876620