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8401109472 = 253279742961
BaseRepresentation
bin1111101001011111…
…01100000111100000
3210200111011120122200
413310233230013200
5114201141000342
63505344533200
7415121152350
oct76457540740
923614146580
108401109472
113621230988
121765621200
13a3b6826c2
14599a7ab60
1534282c94c
hex1f4bec1e0

8401109472 has 144 divisors (see below), whose sum is σ = 27585728352. Its totient is φ = 2375516160.

The previous prime is 8401109459. The next prime is 8401109489. The reversal of 8401109472 is 2749011048.

8401109472 is a `hidden beast` number, since 84 + 0 + 1 + 109 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174072 + ... + 217032.

It is an arithmetic number, because the mean of its divisors is an integer number (191567558).

Almost surely, 28401109472 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 8401109472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13792864176).

8401109472 is an abundant number, since it is smaller than the sum of its proper divisors (19184618880).

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

8401109472 is a wasteful number, since it uses less digits than its factorization.

8401109472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43081 (or 43070 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8401109472 is about 91657.5663652489. The cubic root of 8401109472 is about 2032.8822067769.

The spelling of 8401109472 in words is "eight billion, four hundred one million, one hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 97 112 126 144 168 194 224 252 288 291 336 388 504 582 672 679 776 873 1008 1164 1358 1552 1746 2016 2037 2328 2716 3104 3492 4074 4656 5432 6111 6984 8148 9312 10864 12222 13968 16296 21728 24444 27936 32592 42961 48888 65184 85922 97776 128883 171844 195552 257766 300727 343688 386649 515532 601454 687376 773298 902181 1031064 1202908 1374752 1546596 1804362 2062128 2405816 2706543 3093192 3608724 4124256 4167217 4811632 5413086 6186384 7217448 8334434 9623264 10826172 12372768 12501651 14434896 16668868 21652344 25003302 28869792 29170519 33337736 37504953 43304688 50006604 58341038 66675472 75009906 86609376 87511557 100013208 116682076 133350944 150019812 175023114 200026416 233364152 262534671 300039624 350046228 400052832 466728304 525069342 600079248 700092456 933456608 1050138684 1200158496 1400184912 2100277368 2800369824 4200554736 8401109472