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1889960696352 = 253230803213043
BaseRepresentation
bin11011100000001010011…
…011111001101000100000
320200200022121111001010100
4123200022123321220200
5221431114414240402
64004122544502400
7253354662566511
oct33401233715040
96620277431110
101889960696352
116695895a6323
1226635401aa00
131092b7b85891
1467690398a08
153426771e71c
hex1b80a6f9a20

1889960696352 has 72 divisors (see below), whose sum is σ = 5374775440944. Its totient is φ = 629963489664.

The previous prime is 1889960696341. The next prime is 1889960696423. The reversal of 1889960696352 is 2536960699881.

1889960696352 is a `hidden beast` number, since 1 + 8 + 8 + 9 + 9 + 606 + 9 + 6 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×18899606963522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 8764743 + ... + 8977785.

It is an arithmetic number, because the mean of its divisors is an integer number (74649658902).

Almost surely, 21889960696352 is an apocalyptic number.

1889960696352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1889960696352 is an abundant number, since it is smaller than the sum of its proper divisors (3484814744592).

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

1889960696352 is a wasteful number, since it uses less digits than its factorization.

1889960696352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243862 (or 243851 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 1889960696352 in words is "one trillion, eight hundred eighty-nine billion, nine hundred sixty million, six hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 30803 61606 92409 123212 184818 213043 246424 277227 369636 426086 492848 554454 639129 739272 852172 985696 1108908 1278258 1478544 1704344 1917387 2217816 2556516 2957088 3408688 3834774 4435632 5113032 6817376 7669548 8871264 10226064 15339096 20452128 30678192 61356384 6562363529 13124727058 19687090587 26249454116 39374181174 52498908232 59061271761 78748362348 104997816464 118122543522 157496724696 209995632928 236245087044 314993449392 472490174088 629986898784 944980348176 1889960696352