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11412708804 = 223271719713523
BaseRepresentation
bin10101010000100000…
…00001110111000100
31002110101000200021200
422220100001313010
5141333123140204
65124245542500
7552550265340
oct125020016704
932411020250
1011412708804
1149271a4052
122266114a30
1310cb598743
147a3a22620
1546be13539
hex2a8401dc4

11412708804 has 144 divisors (see below), whose sum is σ = 35089262208. Its totient is φ = 3053159424.

The previous prime is 11412708763. The next prime is 11412708833. The reversal of 11412708804 is 40880721411.

It is a super-2 number, since 2×114127088042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 837187 + ... + 850709.

It is an arithmetic number, because the mean of its divisors is an integer number (243675432).

Almost surely, 211412708804 is an apocalyptic number.

11412708804 is a gapful number since it is divisible by the number (14) 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 11412708804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17544631104).

11412708804 is an abundant number, since it is smaller than the sum of its proper divisors (23676553404).

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

11412708804 is a wasteful number, since it uses less digits than its factorization.

11412708804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13754 (or 13749 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 11412708804 in words is "eleven billion, four hundred twelve million, seven hundred eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 197 204 238 252 306 357 394 476 591 612 714 788 1071 1182 1379 1428 1773 2142 2364 2758 3349 3546 4137 4284 5516 6698 7092 8274 10047 12411 13396 13523 16548 20094 23443 24822 27046 30141 40188 40569 46886 49644 54092 60282 70329 81138 93772 94661 120564 121707 140658 162276 189322 210987 229891 243414 281316 283983 378644 421974 459782 486828 567966 689673 843948 851949 919564 1135932 1379346 1609237 1703898 2069019 2664031 2758692 3218474 3407796 4138038 4827711 5328062 6436948 7992093 8276076 9655422 10656124 14483133 15984186 18648217 19310844 23976279 28966266 31968372 37296434 45288527 47952558 55944651 57932532 74592868 90577054 95905116 111889302 135865581 167833953 181154108 223778604 271731162 317019689 335667906 407596743 543462324 634039378 671335812 815193486 951059067 1268078756 1630386972 1902118134 2853177201 3804236268 5706354402 11412708804