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153402134056360 = 235710934611452263
BaseRepresentation
bin100010111000010010110111…
…101101010100110110101000
3202010011002201110220201211221
4202320102313231110312220
5130101320032304300420
61302131544552031424
744211636613120240
oct4270226755246650
9663132643821757
10153402134056360
1144973530542482
1215256440392574
1367799b3b8a397
1429c49baaa8b20
1512b051caaecaa
hex8b84b7b54da8

153402134056360 has 128 divisors (see below), whose sum is σ = 398196847065600. Its totient is φ = 52097401359360.

The previous prime is 153402134056357. The next prime is 153402134056403. The reversal of 153402134056360 is 63650431204351.

153402134056360 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104903589 + ... + 106355851.

It is an arithmetic number, because the mean of its divisors is an integer number (3110912867700).

Almost surely, 2153402134056360 is an apocalyptic number.

153402134056360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153402134056360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199098423532800).

153402134056360 is an abundant number, since it is smaller than the sum of its proper divisors (244794713009240).

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

153402134056360 is a wasteful number, since it uses less digits than its factorization.

153402134056360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455851 (or 1455847 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 153402134056360 in words is "one hundred fifty-three trillion, four hundred two billion, one hundred thirty-four million, fifty-six thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 109 140 218 280 436 545 763 872 1090 1526 2180 3052 3461 3815 4360 6104 6922 7630 13844 15260 17305 24227 27688 30520 34610 48454 69220 96908 121135 138440 193816 242270 377249 484540 754498 969080 1452263 1508996 1886245 2640743 2904526 3017992 3772490 5281486 5809052 7261315 7544980 10165841 10562972 11618104 13203715 14522630 15089960 20331682 21125944 26407430 29045260 40663364 50829205 52814860 58090520 81326728 101658410 105629720 158296667 203316820 316593334 406633640 633186668 791483335 1108076669 1266373336 1582966670 2216153338 3165933340 4432306676 5026282243 5540383345 6331866680 8864613352 10052564486 11080766690 20105128972 22161533380 25131411215 35183975701 40210257944 44323066760 50262822430 70367951402 100525644860 140735902804 175919878505 201051289720 281471805608 351839757010 547864764487 703679514020 1095729528974 1407359028040 2191459057948 2739323822435 3835053351409 4382918115896 5478647644870 7670106702818 10957295289740 15340213405636 19175266757045 21914590579480 30680426811272 38350533514090 76701067028180 153402134056360