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1472086606920 = 2335101401302891
BaseRepresentation
bin10101011010111111001…
…100110000010001001000
312012201201020122211221020
4111122333030300101020
5143104313132410140
63044133420512440
7211232451462546
oct25327714602110
95181636584836
101472086606920
1151834356aa96
121b93729ab720
13a8a81430277
145136c3c2d96
152845ba3e6d0
hex156bf330448

1472086606920 has 128 divisors (see below), whose sum is σ = 4471122084480. Its totient is φ = 387699200000.

The previous prime is 1472086606883. The next prime is 1472086606943. The reversal of 1472086606920 is 296066802741.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4708675 + ... + 5011565.

It is an arithmetic number, because the mean of its divisors is an integer number (34930641285).

Almost surely, 21472086606920 is an apocalyptic number.

1472086606920 is a gapful number since it is divisible by the number (10) 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 1472086606920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235561042240).

1472086606920 is an abundant number, since it is smaller than the sum of its proper divisors (2999035477560).

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

1472086606920 is a wasteful number, since it uses less digits than its factorization.

1472086606920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303407 (or 303403 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 1472086606920 in words is "one trillion, four hundred seventy-two billion, eighty-six million, six hundred six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 401 404 505 606 802 808 1010 1203 1212 1515 1604 2005 2020 2406 2424 3030 3208 4010 4040 4812 6015 6060 8020 9624 12030 12120 16040 24060 40501 48120 81002 121503 162004 202505 243006 302891 324008 405010 486012 605782 607515 810020 908673 972024 1211564 1215030 1514455 1620040 1817346 2423128 2430060 3028910 3634692 4543365 4860120 6057820 7269384 9086730 12115640 18173460 30591991 36346920 61183982 91775973 121459291 122367964 152959955 183551946 242918582 244735928 305919910 364377873 367103892 458879865 485837164 607296455 611839820 728755746 734207784 917759730 971674328 1214592910 1223679640 1457511492 1821889365 1835519460 2429185820 2915022984 3643778730 3671038920 4858371640 7287557460 12267388391 14575114920 24534776782 36802165173 49069553564 61336941955 73604330346 98139107128 122673883910 147208660692 184010825865 245347767820 294417321384 368021651730 490695535640 736043303460 1472086606920