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3734000106700 = 2252172837774223
BaseRepresentation
bin110110010101100011101…
…111111111110011001100
3111012222002212222001101011
4312111203233333303030
5442134213011403300
611535213113055004
7533526001136113
oct66254357776314
914188085861334
103734000106700
11120a642795806
125038110b7464
13211164cc0076
14cca259c6c7a
15671e36bbeba
hex36563bffccc

3734000106700 has 72 divisors (see below), whose sum is σ = 8582449563072. Its totient is φ = 1405243898880.

The previous prime is 3734000106667. The next prime is 3734000106709. The reversal of 3734000106700 is 76010004373.

It is a super-2 number, since 2×37340001067002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3734000106709) 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, 4435789 + ... + 5210011.

It is an arithmetic number, because the mean of its divisors is an integer number (119200688376).

Almost surely, 23734000106700 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 3734000106700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291224781536).

3734000106700 is an abundant number, since it is smaller than the sum of its proper divisors (4848449456372).

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

3734000106700 is a wasteful number, since it uses less digits than its factorization.

3734000106700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777091 (or 777084 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The spelling of 3734000106700 in words is "three trillion, seven hundred thirty-four billion, one hundred six thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 2837 5674 11348 14185 28370 48229 56740 70925 96458 141850 192916 241145 283700 482290 774223 964580 1205725 1548446 2411450 3096892 3871115 4822900 7742230 13161791 15484460 19355575 26323582 38711150 52647164 65808955 77422300 131617910 263235820 329044775 658089550 1316179100 2196470651 4392941302 8785882604 10982353255 21964706510 37340001067 43929413020 54911766275 74680002134 109823532550 149360004268 186700005335 219647065100 373400010670 746800021340 933500026675 1867000053350 3734000106700