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1978931495025 = 34524327272
BaseRepresentation
bin11100110011000001100…
…000100100000001110001
321000011222010201220110000
4130303001200210001301
5224410322430320100
64113035241500213
7262654524111222
oct34630140440161
97004863656400
101978931495025
116a3295269201
1227b6441a1669
131147c66b5394
146bad0707249
153672354c900
hex1ccc1824071

1978931495025 has 135 divisors (see below), whose sum is σ = 3758065012251. Its totient is φ = 1029467244960.

The previous prime is 1978931495011. The next prime is 1978931495033. The reversal of 1978931495025 is 5205941398791.

The square root of 1978931495025 is 1406745.

It is a perfect power (a square), and thus also a powerful number.

1978931495025 is a `hidden beast` number, since 1 + 9 + 7 + 89 + 3 + 1 + 49 + 502 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 712415338209 + 1266516156816 = 844047^2 + 1125396^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1978931495025 - 233 = 1970341560433 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2722051212 + ... + 2722051938.

Almost surely, 21978931495025 is an apocalyptic number.

1978931495025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1978931495025 is the 1406745-th square number.

1978931495025 is the 703373-rd centered octagonal number.

It is an amenable number.

1978931495025 is a deficient number, since it is larger than the sum of its proper divisors (1779133517226).

1978931495025 is an frugal number, since it uses more digits than its factorization.

1978931495025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 1978931495025 in words is "one trillion, nine hundred seventy-eight billion, nine hundred thirty-one million, four hundred ninety-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 43 45 75 81 129 135 215 225 387 405 645 675 727 1075 1161 1849 1935 2025 2181 3225 3483 3635 5547 5805 6543 9245 9675 10905 16641 17415 18175 19629 27735 29025 31261 32715 46225 49923 54525 58887 83205 87075 93783 98145 138675 149769 156305 163575 249615 281349 294435 416025 468915 490725 528529 748845 781525 844047 1248075 1344223 1406745 1472175 1585587 2344575 2532141 2642645 3744225 4032669 4220235 4756761 6721115 7033725 7927935 12098007 12660705 13213225 14270283 20163345 21101175 22726747 23783805 33605575 36294021 39639675 42810849 60490035 63303525 68180241 71351415 100816725 108882063 113633735 118919025 181470105 204540723 214054245 302450175 340901205 356757075 544410315 568168675 613622169 907350525 977250121 1022703615 1070271225 1704506025 1840866507 2722051575 2931750363 3068110845 4886250605 5113518075 8795251089 9204332535 14658751815 15340554225 24431253025 26385753267 43976255445 46021662675 73293759075 79157259801 131928766335 219881277225 395786299005 659643831675 1978931495025