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1012087218192 = 243296771152843
BaseRepresentation
bin11101011101001010001…
…10010110000000010000
310120202101002122201200220
432232211012112000100
5113040223311440232
62052540233313040
7133056315261141
oct16564506260020
93522332581626
101012087218192
11360250938916
12144195b65780
137459351a05b
1436db1889ac8
151b4d79b442c
hexeba5196010

1012087218192 has 160 divisors (see below), whose sum is σ = 2783766113280. Its totient is φ = 316346257920.

The previous prime is 1012087218187. The next prime is 1012087218229. The reversal of 1012087218192 is 2918127802101.

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, 6545323 + ... + 6698165.

It is an arithmetic number, because the mean of its divisors is an integer number (17398538208).

Almost surely, 21012087218192 is an apocalyptic number.

1012087218192 is a gapful number since it is divisible by the number (12) 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 1012087218192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391883056640).

1012087218192 is an abundant number, since it is smaller than the sum of its proper divisors (1771678895088).

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

1012087218192 is a wasteful number, since it uses less digits than its factorization.

1012087218192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153021 (or 153015 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 42.

The spelling of 1012087218192 in words is "one trillion, twelve billion, eighty-seven million, two hundred eighteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 67 71 87 116 134 142 174 201 213 232 268 284 348 402 426 464 536 568 696 804 852 1072 1136 1392 1608 1704 1943 2059 3216 3408 3886 4118 4757 5829 6177 7772 8236 9514 11658 12354 14271 15544 16472 19028 23316 24708 28542 31088 32944 38056 46632 49416 57084 76112 93264 98832 114168 137953 152843 228336 275906 305686 413859 458529 551812 611372 827718 917058 1103624 1222744 1655436 1834116 2207248 2445488 3310872 3668232 4432447 6621744 7336464 8864894 10240481 10851853 13297341 17729788 20480962 21703706 26594682 30721443 32555559 35459576 40961924 43407412 53189364 61442886 65111118 70919152 81923848 86814824 106378728 122885772 130222236 163847696 173629648 212757456 245771544 260444472 296973949 314703737 491543088 520888944 593947898 629407474 727074151 890921847 944111211 1187895796 1258814948 1454148302 1781843694 1888222422 2181222453 2375791592 2517629896 2908296604 3563687388 3776444844 4362444906 4751583184 5035259792 5816593208 7127374776 7552889688 8724889812 11633186416 14254749552 15105779376 17449779624 21085150379 34899559248 42170300758 63255451137 84340601516 126510902274 168681203032 253021804548 337362406064 506043609096 1012087218192