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21454461120 = 263540135569
BaseRepresentation
bin10011111110110010…
…010001100011000000
32001101012100112211010
4103332302101203000
5322414320223440
613504523320520
71356442624221
oct237662214300
961335315733
1021454461120
11910a536204
1241a9080140
13203bb14211
141077533248
158587bc580
hex4fec918c0

21454461120 has 112 divisors (see below), whose sum is σ = 68147123040. Its totient is φ = 5718736896.

The previous prime is 21454460981. The next prime is 21454461163. The reversal of 21454461120 is 2116445412.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3849696 + ... + 3855264.

Almost surely, 221454461120 is an apocalyptic number.

21454461120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21454461120 is an abundant number, since it is smaller than the sum of its proper divisors (46692661920).

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

21454461120 is a wasteful number, since it uses less digits than its factorization.

21454461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9602 (or 9592 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 21454461120 in words is "twenty-one billion, four hundred fifty-four million, four hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 4013 5569 8026 11138 12039 16052 16707 20065 22276 24078 27845 32104 33414 40130 44552 48156 55690 60195 64208 66828 80260 83535 89104 96312 111380 120390 128416 133656 160520 167070 178208 192624 222760 240780 256832 267312 321040 334140 356416 385248 445520 481560 534624 642080 668280 770496 891040 963120 1069248 1284160 1336560 1782080 1926240 2673120 3852480 5346240 22348397 44696794 67045191 89393588 111741985 134090382 178787176 223483970 268180764 335225955 357574352 446967940 536361528 670451910 715148704 893935880 1072723056 1340903820 1430297408 1787871760 2145446112 2681807640 3575743520 4290892224 5363615280 7151487040 10727230560 21454461120