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1019474768412 = 223431503201791
BaseRepresentation
bin11101101010111010110…
…11100111001000011100
310121110102221122011110000
432311131123213020130
5113200341020042122
62100201254214300
7133440351360342
oct16653533471034
93543387564400
101019474768412
113633a1a24721
121456b8054390
137519cbc5949
14374b2a89992
151b7bb3330ac
hexed5d6e721c

1019474768412 has 120 divisors (see below), whose sum is σ = 2756562665472. Its totient is φ = 328207399200.

The previous prime is 1019474768407. The next prime is 1019474768531. The reversal of 1019474768412 is 2148674749101.

1019474768412 is a `hidden beast` number, since 1 + 0 + 1 + 94 + 7 + 476 + 84 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4951237 + ... + 5153027.

Almost surely, 21019474768412 is an apocalyptic number.

1019474768412 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 1019474768412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378281332736).

1019474768412 is an abundant number, since it is smaller than the sum of its proper divisors (1737087897060).

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

1019474768412 is a wasteful number, since it uses less digits than its factorization.

1019474768412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202341 (or 202330 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 1019474768412 in words is "one trillion, nineteen billion, four hundred seventy-four million, seven hundred sixty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 503 558 837 1006 1116 1509 1674 2012 2511 3018 3348 4527 5022 6036 9054 10044 13581 15593 18108 27162 31186 40743 46779 54324 62372 81486 93558 140337 162972 187116 201791 280674 403582 421011 561348 605373 807164 842022 1210746 1263033 1684044 1816119 2421492 2526066 3632238 5052132 5448357 6255521 7264476 10896714 12511042 16345071 18766563 21793428 25022084 32690142 37533126 56299689 65380284 75066252 101500873 112599378 168899067 203001746 225198756 304502619 337798134 406003492 506697201 609005238 675596268 913507857 1013394402 1218010476 1827015714 2026788804 2740523571 3146527063 3654031428 5481047142 6293054126 8221570713 9439581189 10962094284 12586108252 16443141426 18879162378 28318743567 32886282852 37758324756 56637487134 84956230701 113274974268 169912461402 254868692103 339824922804 509737384206 1019474768412