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1980185472 = 27321990469
BaseRepresentation
bin111011000000111…
…0011101110000000
312010000001211210200
41312001303232000
513023411413342
6524254125200
7100033204326
oct16601635600
95100054720
101980185472
11926843721
124731b0800
1325732a4a5
1414adbbd16
15b8c9b94c
hex76073b80

1980185472 has 96 divisors (see below), whose sum is σ = 5998161000. Its totient is φ = 625314816.

The previous prime is 1980185443. The next prime is 1980185503. The reversal of 1980185472 is 2745810891.

1980185472 is a `hidden beast` number, since 1 + 98 + 0 + 18 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×19801854722 = 7842269007039725568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23347 + ... + 67122.

Almost surely, 21980185472 is an apocalyptic number.

1980185472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1980185472 is an abundant number, since it is smaller than the sum of its proper divisors (4017975528).

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

1980185472 is a wasteful number, since it uses less digits than its factorization.

1980185472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90508 (or 90493 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 1980185472 is about 44499.2749603856. The cubic root of 1980185472 is about 1255.7464429268.

The spelling of 1980185472 in words is "one billion, nine hundred eighty million, one hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 90469 180938 271407 361876 542814 723752 814221 1085628 1447504 1628442 1718911 2171256 2895008 3256884 3437822 4342512 5156733 5790016 6513768 6875644 8685024 10313466 11580032 13027536 13751288 15470199 17370048 20626932 26055072 27502576 30940398 34740096 41253864 52110144 55005152 61880796 82507728 104220288 110010304 123761592 165015456 220020608 247523184 330030912 495046368 660061824 990092736 1980185472