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190710106496 = 27713103158959
BaseRepresentation
bin1011000110011100110…
…1010100100110000000
3200020020220201012100122
42301213031110212000
511111033241401441
6223335551235412
716530655105250
oct2614715244600
9606226635318
10190710106496
1173974979768
1230b64518b68
1314ca379c280
1493323a7960
154e62ad334b
hex2c67354980

190710106496 has 128 divisors (see below), whose sum is σ = 472149350400. Its totient is φ = 74712803328.

The previous prime is 190710106487. The next prime is 190710106553. The reversal of 190710106496 is 694601017091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1907101064962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 1120265 + ... + 1279223.

It is an arithmetic number, because the mean of its divisors is an integer number (3688666800).

Almost surely, 2190710106496 is an apocalyptic number.

190710106496 is a gapful number since it is divisible by the number (16) 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 190710106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236074675200).

190710106496 is an abundant number, since it is smaller than the sum of its proper divisors (281439243904).

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

190710106496 is a wasteful number, since it uses less digits than its factorization.

190710106496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159096 (or 159084 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 44.

The spelling of 190710106496 in words is "one hundred ninety billion, seven hundred ten million, one hundred six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 103 104 112 128 182 206 208 224 364 412 416 448 721 728 824 832 896 1339 1442 1456 1648 1664 2678 2884 2912 3296 5356 5768 5824 6592 9373 10712 11536 11648 13184 18746 21424 23072 37492 42848 46144 74984 85696 92288 149968 158959 171392 299936 317918 599872 635836 1112713 1199744 1271672 2066467 2225426 2543344 4132934 4450852 5086688 8265868 8901704 10173376 14465269 16372777 16531736 17803408 20346752 28930538 32745554 33063472 35606816 57861076 65491108 66126944 71213632 114609439 115722152 130982216 132253888 142427264 212846101 229218878 231444304 261964432 264507776 425692202 458437756 462888608 523928864 851384404 916875512 925777216 1047857728 1489922707 1702768808 1833751024 1851554432 2095715456 2979845414 3405537616 3667502048 5959690828 6811075232 7335004096 11919381656 13622150464 14670008192 23838763312 27244300928 47677526624 95355053248 190710106496