Search a number
-
+
37401352920 = 23325412533967
BaseRepresentation
bin100010110101010010…
…110101101011011000
310120112120020120212100
4202311102311223120
51103044221243140
625103144443400
72462561153151
oct426522655330
9116476216770
1037401352920
11149530a8028
1272b9779560
1336b0894379
141b4b3dc928
15e8d7c2530
hex8b54b5ad8

37401352920 has 96 divisors (see below), whose sum is σ = 124519187520. Its totient is φ = 9730429440.

The previous prime is 37401352909. The next prime is 37401352927. The reversal of 37401352920 is 2925310473.

37401352920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×374013529202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37401352927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1252224 + ... + 1281743.

It is an arithmetic number, because the mean of its divisors is an integer number (1297074870).

Almost surely, 237401352920 is an apocalyptic number.

37401352920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

37401352920 is an abundant number, since it is smaller than the sum of its proper divisors (87117834600).

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

37401352920 is a wasteful number, since it uses less digits than its factorization.

37401352920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534025 (or 2534018 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 37401352920 in words is "thirty-seven billion, four hundred one million, three hundred fifty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 2533967 5067934 7601901 10135868 12669835 15203802 20271736 22805703 25339670 30407604 38009505 45611406 50679340 60815208 76019010 91222812 101358680 103892647 114028515 152038020 182445624 207785294 228057030 304076040 311677941 415570588 456114060 519463235 623355882 831141176 912228120 935033823 1038926470 1246711764 1558389705 1870067646 2077852940 2493423528 3116779410 3740135292 4155705880 4675169115 6233558820 7480270584 9350338230 12467117640 18700676460 37401352920