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37049902240 = 25513109163417
BaseRepresentation
bin100010100000010110…
…001010010010100000
310112122001221001011111
4202200112022102200
51101334233332430
625004231553104
72451062654461
oct424026122240
9115561831144
1037049902240
1114792781a1a
12721bb2b794
133655b20aa0
141b16874d68
15e6c9edc2a
hex8a058a4a0

37049902240 has 96 divisors (see below), whose sum is σ = 95128886160. Its totient is φ = 13554376704.

The previous prime is 37049902237. The next prime is 37049902243. The reversal of 37049902240 is 4220994073.

It is an interprime number because it is at equal distance from previous prime (37049902237) and next prime (37049902243).

It can be written as a sum of positive squares in 8 ways, for example, as 8026009744 + 29023892496 = 89588^2 + 170364^2 .

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 = 37049902193 and 37049902202.

It is not an unprimeable number, because it can be changed into a prime (37049902243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145012 + ... + 308428.

Almost surely, 237049902240 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 37049902240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47564443080).

37049902240 is an abundant number, since it is smaller than the sum of its proper divisors (58078983920).

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

37049902240 is a wasteful number, since it uses less digits than its factorization.

37049902240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163554 (or 163546 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 37049902240 in words is "thirty-seven billion, forty-nine million, nine hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 109 130 160 208 218 260 416 436 520 545 872 1040 1090 1417 1744 2080 2180 2834 3488 4360 5668 7085 8720 11336 14170 17440 22672 28340 45344 56680 113360 163417 226720 326834 653668 817085 1307336 1634170 2124421 2614672 3268340 4248842 5229344 6536680 8497684 10622105 13073360 16995368 17812453 21244210 26146720 33990736 35624906 42488420 67981472 71249812 84976840 89062265 142499624 169953680 178124530 231561889 284999248 339907360 356249060 463123778 569998496 712498120 926247556 1157809445 1424996240 1852495112 2315618890 2849992480 3704990224 4631237780 7409980448 9262475560 18524951120 37049902240