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10166501376 = 2153311491
BaseRepresentation
bin10010111011111100…
…01000000000000000
3222020112001210002000
421131332020000000
5131310111021001
64400451224000
7506635556463
oct113576100000
928215053060
1010166501376
1143477a7a59
121b788a8000
13c603461b5
146c63052da
153e77eba86
hex25df88000

10166501376 has 128 divisors (see below), whose sum is σ = 30125128800. Its totient is φ = 3388538880.

The previous prime is 10166501369. The next prime is 10166501383. The reversal of 10166501376 is 67310566101.

It is an interprime number because it is at equal distance from previous prime (10166501369) and next prime (10166501383).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 10166501376.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 878991 + ... + 890481.

Almost surely, 210166501376 is an apocalyptic number.

10166501376 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 10166501376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15062564400).

10166501376 is an abundant number, since it is smaller than the sum of its proper divisors (19958627424).

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

10166501376 is an frugal number, since it uses more digits than its factorization.

10166501376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11530 (or 11496 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10166501376 in words is "ten billion, one hundred sixty-six million, five hundred one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 11491 12288 13824 16384 18432 22982 24576 27648 32768 34473 36864 45964 49152 55296 68946 73728 91928 98304 103419 110592 137892 147456 183856 206838 221184 275784 294912 310257 367712 413676 442368 551568 620514 735424 827352 884736 1103136 1241028 1470848 1654704 2206272 2482056 2941696 3309408 4412544 4964112 5883392 6618816 8825088 9928224 11766784 13237632 17650176 19856448 23533568 26475264 35300352 39712896 47067136 52950528 70600704 79425792 94134272 105901056 141201408 158851584 188268544 211802112 282402816 317703168 376537088 423604224 564805632 635406336 847208448 1129611264 1270812672 1694416896 2541625344 3388833792 5083250688 10166501376