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40752333672380 = 225113971840125357
BaseRepresentation
bin10010100010000011001000…
…10111110100111110111100
312100021212220012110102100122
421101001210113310332330
520320141234410004010
6222401210313514112
711404154550536411
oct1121014427647674
9170255805412318
1040752333672380
1111a91a70a46380
1246a20aa112938
131997c0c108c45
14a0c5d0026108
154aa0dd48c855
hex2510645f4fbc

40752333672380 has 96 divisors (see below), whose sum is σ = 93603832846272. Its totient is φ = 14780316672000.

The previous prime is 40752333672371. The next prime is 40752333672499. The reversal of 40752333672380 is 8327633325704.

40752333672380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1607130662 + ... + 1607156018.

It is an arithmetic number, because the mean of its divisors is an integer number (975039925482).

Almost surely, 240752333672380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40752333672380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46801916423136).

40752333672380 is an abundant number, since it is smaller than the sum of its proper divisors (52851499173892).

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

40752333672380 is a wasteful number, since it uses less digits than its factorization.

40752333672380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44175 (or 44173 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 53.

The spelling of 40752333672380 in words is "forty trillion, seven hundred fifty-two billion, three hundred thirty-three million, six hundred seventy-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 397 794 1588 1985 3970 4367 7940 8734 17468 18401 21835 25357 36802 43670 50714 73604 87340 92005 101428 126785 184010 202411 253570 278927 368020 404822 507140 557854 809644 1012055 1115708 1394635 2024110 2789270 4048220 5578540 7305197 10066729 14610394 20133458 29220788 36525985 40266916 50333645 73051970 80357167 100667290 110734019 146103940 160714334 201334580 221468038 321428668 401785835 442936076 466594157 553670095 803571670 933188314 1107340190 1607143340 1866376628 2214680380 2332970785 4665941570 5132535727 9331883140 10265071454 20530142908 25662678635 51325357270 102650714540 185237880329 370475760658 740951521316 926189401645 1852378803290 2037616683619 3704757606580 4075233367238 8150466734476 10188083418095 20376166836190 40752333672380