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23400353341620 = 22325892914559521
BaseRepresentation
bin1010101001000010100011…
…01111111010000010110100
310001212001101212011202200100
411110201101233322002310
511031342410423412440
6121433550211114100
74633422366362343
oct524412157720264
9101761355152610
1023400353341620
117502041462982
12275b18aba2930
13100984a708148
145ac824213b5a
152a8a6c01c230
hex154851bfa0b4

23400353341620 has 72 divisors (see below), whose sum is σ = 70989026177160. Its totient is φ = 6239394938880.

The previous prime is 23400353341559. The next prime is 23400353341639. The reversal of 23400353341620 is 2614335300432.

23400353341620 is a `hidden beast` number, since 23 + 4 + 0 + 0 + 3 + 5 + 3 + 3 + 4 + 1 + 620 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 999992000016 + 22400361341604 = 999996^2 + 4732902^2 .

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, 5672541 + ... + 8886980.

It is an arithmetic number, because the mean of its divisors is an integer number (985958696905).

Almost surely, 223400353341620 is an apocalyptic number.

23400353341620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23400353341620 is an abundant number, since it is smaller than the sum of its proper divisors (47588672835540).

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

23400353341620 is a wasteful number, since it uses less digits than its factorization.

23400353341620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14568465 (or 14568460 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 23400353341620 in words is "twenty-three trillion, four hundred billion, three hundred fifty-three million, three hundred forty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8929 17858 26787 35716 44645 53574 80361 89290 107148 133935 160722 178580 267870 321444 401805 535740 803610 1607220 14559521 29119042 43678563 58238084 72797605 87357126 131035689 145595210 174714252 218392815 262071378 291190420 436785630 524142756 655178445 873571260 1310356890 2620713780 130001963009 260003926018 390005889027 520007852036 650009815045 780011778054 1170017667081 1300019630090 1560023556108 1950029445135 2340035334162 2600039260180 3900058890270 4680070668324 5850088335405 7800117780540 11700176670810 23400353341620