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1381382500000 = 2557552553
BaseRepresentation
bin10100000110100000110…
…100000010111010100000
311220001120220212210200211
4110012200310002322200
5140113032410000000
62534333125023504
7201541642341256
oct24064064027240
94801526783624
101381382500000
11492928454a58
121a387a254b94
13a0357791499
144ac05b9c5d6
1525ded97d7ba
hex141a0d02ea0

1381382500000 has 96 divisors (see below), whose sum is σ = 3399493445712. Its totient is φ = 552552000000.

The previous prime is 1381382499947. The next prime is 1381382500021. The reversal of 1381382500000 is 52831831.

It can be written as a sum of positive squares in 8 ways, for example, as 1336863187984 + 44519312016 = 1156228^2 + 210996^2 .

It is a super-2 number, since 2×13813825000002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2223724 + ... + 2776276.

Almost surely, 21381382500000 is an apocalyptic number.

1381382500000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381382500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699746722856).

1381382500000 is an abundant number, since it is smaller than the sum of its proper divisors (2018110945712).

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

1381382500000 is an frugal number, since it uses more digits than its factorization.

1381382500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552598 (or 552560 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 1381382500000 in words is "one trillion, three hundred eighty-one billion, three hundred eighty-two million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 15625 20000 25000 31250 50000 62500 78125 100000 125000 156250 250000 312500 500000 552553 625000 1105106 1250000 2210212 2500000 2762765 4420424 5525530 8840848 11051060 13813825 17681696 22102120 27627650 44204240 55255300 69069125 88408480 110510600 138138250 221021200 276276500 345345625 442042400 552553000 690691250 1105106000 1381382500 1726728125 2210212000 2762765000 3453456250 5525530000 6906912500 8633640625 11051060000 13813825000 17267281250 27627650000 34534562500 43168203125 55255300000 69069125000 86336406250 138138250000 172672812500 276276500000 345345625000 690691250000 1381382500000