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378074740000 = 255429651853
BaseRepresentation
bin1011000000001110000…
…00101011010100100000
31100010212200022202112011
411200013000223110200
522143244113140000
6445403553442304
736213021160126
oct5400700532440
91303780282464
10378074740000
11136382375011
1261334570394
1329863127509
1414428319916
159c7bb302ba
hex580702b520

378074740000 has 120 divisors (see below), whose sum is σ = 962195170860. Its totient is φ = 146014848000.

The previous prime is 378074739997. The next prime is 378074740007. The reversal of 378074740000 is 47470873.

It can be written as a sum of positive squares in 10 ways, for example, as 12082576 + 378062657424 = 3476^2 + 614868^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (378074740007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 254074 + ... + 905926.

Almost surely, 2378074740000 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 378074740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481097585430).

378074740000 is an abundant number, since it is smaller than the sum of its proper divisors (584120430860).

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

378074740000 is an equidigital number, since it uses as much as digits as its factorization.

378074740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651912 (or 651889 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 40.

The spelling of 378074740000 in words is "three hundred seventy-eight billion, seventy-four million, seven hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2320 2500 2900 3625 4000 4640 5000 5800 7250 10000 11600 14500 18125 20000 23200 29000 36250 58000 72500 116000 145000 290000 580000 651853 1303706 2607412 3259265 5214824 6518530 10429648 13037060 16296325 18903737 20859296 26074120 32592650 37807474 52148240 65185300 75614948 81481625 94518685 104296480 130370600 151229896 162963250 189037370 260741200 302459792 325926500 378074740 407408125 472593425 521482400 604919584 651853000 756149480 814816250 945186850 1303706000 1512298960 1629632500 1890373700 2362967125 2607412000 3024597920 3259265000 3780747400 4725934250 6518530000 7561494800 9451868500 11814835625 13037060000 15122989600 18903737000 23629671250 37807474000 47259342500 75614948000 94518685000 189037370000 378074740000