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1072157245240 = 23598207272933
BaseRepresentation
bin11111001101000011000…
…11010011111100111000
310210111102111000021111111
433212201203103330320
5120031234223321430
62140313042410104
7140314025134264
oct17464143237470
93714374007444
101072157245240
113837768a5274
1215395b360934
137a147625163
1439c6d76b0a4
151cd5144ac2a
hexf9a18d3f38

1072157245240 has 32 divisors (see below), whose sum is σ = 2412387204480. Its totient is φ = 428856959872.

The previous prime is 1072157245231. The next prime is 1072157245249. The reversal of 1072157245240 is 425427512701.

It is an interprime number because it is at equal distance from previous prime (1072157245231) and next prime (1072157245249).

It is a super-2 number, since 2×10721572452402 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1072157245193 and 1072157245202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072157245249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3791814 + ... + 4064746.

It is an arithmetic number, because the mean of its divisors is an integer number (75387100140).

Almost surely, 21072157245240 is an apocalyptic number.

1072157245240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072157245240 is an abundant number, since it is smaller than the sum of its proper divisors (1340229959240).

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

1072157245240 is a wasteful number, since it uses less digits than its factorization.

1072157245240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371151 (or 371147 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The spelling of 1072157245240 in words is "one trillion, seventy-two billion, one hundred fifty-seven million, two hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 98207 196414 272933 392828 491035 545866 785656 982070 1091732 1364665 1964140 2183464 2729330 3928280 5458660 10917320 26803931131 53607862262 107215724524 134019655655 214431449048 268039311310 536078622620 1072157245240