Search a number
-
+
2153466323600 = 245231712446009
BaseRepresentation
bin11111010101100100100…
…110000110001010010000
321121212110202210211220012
4133111210212012022100
5240240244334323400
64325142212534052
7311403621506024
oct37254446061220
97555422724805
102153466323600
11760309665189
122a9433621328
131280bccbb987
147632a754384
153b03b065d35
hex1f564986290

2153466323600 has 120 divisors (see below), whose sum is σ = 5415818365440. Its totient is φ = 821858688000.

The previous prime is 2153466323579. The next prime is 2153466323621. The reversal of 2153466323600 is 63236643512.

It is an interprime number because it is at equal distance from previous prime (2153466323579) and next prime (2153466323621).

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, 342605 + ... + 2103404.

It is an arithmetic number, because the mean of its divisors is an integer number (45131819712).

Almost surely, 22153466323600 is an apocalyptic number.

2153466323600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153466323600 is an abundant number, since it is smaller than the sum of its proper divisors (3262352041840).

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

2153466323600 is a wasteful number, since it uses less digits than its factorization.

2153466323600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446129 (or 2446118 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 41.

The spelling of 2153466323600 in words is "two trillion, one hundred fifty-three billion, four hundred sixty-six million, three hundred twenty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 71 80 100 124 142 155 200 248 284 310 355 400 496 568 620 710 775 1136 1240 1420 1550 1775 2201 2480 2840 3100 3550 4402 5680 6200 7100 8804 11005 12400 14200 17608 22010 28400 35216 44020 55025 88040 110050 176080 220100 440200 880400 2446009 4892018 9784036 12230045 19568072 24460090 39136144 48920180 61150225 75826279 97840360 122300450 151652558 173666639 195680720 244600900 303305116 347333278 379131395 489201800 606610232 694666556 758262790 868333195 978403600 1213220464 1389333112 1516525580 1736666390 1895656975 2778666224 3033051160 3473332780 3791313950 4341665975 5383665809 6066102320 6946665560 7582627900 8683331950 10767331618 13893331120 15165255800 17366663900 21534663236 26918329045 30330511600 34733327800 43069326472 53836658090 69466655600 86138652944 107673316180 134591645225 215346632360 269183290450 430693264720 538366580900 1076733161800 2153466323600