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1561001016150 = 233526471787167
BaseRepresentation
bin10110101101110010111…
…010010011101101010110
312112020012211210211111000
4112231302322103231112
5201033412230004100
63153040341124130
7220531026465462
oct26556272235526
95466184724430
101561001016150
11552020418724
122126480b9646
13b4281378334
14557a50534a2
152a91292e900
hex16b72e93b56

1561001016150 has 96 divisors (see below), whose sum is σ = 4308075694080. Its totient is φ = 415623324960.

The previous prime is 1561001016139. The next prime is 1561001016181. The reversal of 1561001016150 is 516101001651.

1561001016150 is a `hidden beast` number, since 15 + 610 + 0 + 10 + 16 + 15 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20134 + ... + 1767033.

It is an arithmetic number, because the mean of its divisors is an integer number (44875788480).

Almost surely, 21561001016150 is an apocalyptic number.

1561001016150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1561001016150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154037847040).

1561001016150 is an abundant number, since it is smaller than the sum of its proper divisors (2747074677930).

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

1561001016150 is a wasteful number, since it uses less digits than its factorization.

1561001016150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787835 (or 1787824 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 1561001016150 in words is "one trillion, five hundred sixty-one billion, one million, sixteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 647 675 1294 1350 1941 3235 3882 5823 6470 9705 11646 16175 17469 19410 29115 32350 34938 48525 58230 87345 97050 145575 174690 291150 436725 873450 1787167 3574334 5361501 8935835 10723002 16084503 17871670 26807505 32169006 44679175 48253509 53615010 80422515 89358350 96507018 134037525 160845030 241267545 268075050 402112575 482535090 804225150 1156297049 1206337725 2312594098 2412675450 3468891147 5781485245 6937782294 10406673441 11562970490 17344455735 20813346882 28907426225 31220020323 34688911470 52033367205 57814852450 62440040646 86722278675 104066734410 156100101615 173444557350 260166836025 312200203230 520333672050 780500508075 1561001016150