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2352948872430 = 23513311031889509
BaseRepresentation
bin100010001111010110101…
…011101000010011101110
322022221101001102021211110
4202033112223220103232
5302022314402404210
65000532500132450
7331665160264032
oct42172653502356
98287331367743
102352948872430
1182797532a692
12320025997126
13140b61055810
1481c51c1a1c2
1541313d76420
hex223d6ae84ee

2352948872430 has 128 divisors (see below), whose sum is σ = 6338595594240. Its totient is φ = 555061870080.

The previous prime is 2352948872381. The next prime is 2352948872437. The reversal of 2352948872430 is 342788492532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2352948872437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 300516 + ... + 2190024.

It is an arithmetic number, because the mean of its divisors is an integer number (49520278080).

Almost surely, 22352948872430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2352948872430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169297797120).

2352948872430 is an abundant number, since it is smaller than the sum of its proper divisors (3985646721810).

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

2352948872430 is a wasteful number, since it uses less digits than its factorization.

2352948872430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889666.

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 2352948872430 in words is "two trillion, three hundred fifty-two billion, nine hundred forty-eight million, eight hundred seventy-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 103 130 155 186 195 206 309 310 390 403 465 515 618 806 930 1030 1209 1339 1545 2015 2418 2678 3090 3193 4017 4030 6045 6386 6695 8034 9579 12090 13390 15965 19158 20085 31930 40170 41509 47895 83018 95790 124527 207545 249054 415090 622635 1245270 1889509 3779018 5668527 9447545 11337054 18895090 24563617 28342635 49127234 56685270 58574779 73690851 117149558 122818085 147381702 175724337 194619427 245636170 292873895 351448674 368454255 389238854 583858281 585747790 736908510 761472127 878621685 973097135 1167716562 1522944254 1757243370 1946194270 2284416381 2530052551 2919291405 3807360635 4568832762 5060105102 5838582810 6033202237 7590157653 7614721270 11422081905 12066404474 12650262755 15180315306 18099606711 22844163810 25300525510 30166011185 36199213422 37950788265 60332022370 75901576530 78431629081 90498033555 156863258162 180996067110 235294887243 392158145405 470589774486 784316290810 1176474436215 2352948872430