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380133450360 = 23345235101093
BaseRepresentation
bin1011000100000011011…
…10000010001001111000
31100100012011011002020000
411202001232002021320
522212003130402420
6450344135033000
736315030005136
oct5420156021170
91310164132200
10380133450360
11137239471634
1261809b0b760
1329b007b9821
14145818d8756
159d4c73d690
hex5881b82278

380133450360 has 160 divisors (see below), whose sum is σ = 1333221927840. Its totient is φ = 96961556736.

The previous prime is 380133450341. The next prime is 380133450379. The reversal of 380133450360 is 63054331083.

380133450360 is a `hidden beast` number, since 3 + 80 + 13 + 3 + 4 + 503 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (380133450341) and next prime (380133450379).

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 39 ways as a sum of consecutive naturals, for example, 2476027 + ... + 2625066.

It is an arithmetic number, because the mean of its divisors is an integer number (8332637049).

Almost surely, 2380133450360 is an apocalyptic number.

380133450360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380133450360 is an abundant number, since it is smaller than the sum of its proper divisors (953088477480).

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

380133450360 is a wasteful number, since it uses less digits than its factorization.

380133450360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101139 (or 5101126 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 380133450360 in words is "three hundred eighty billion, one hundred thirty-three million, four hundred fifty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 81 90 92 108 115 120 135 138 162 180 184 207 216 230 270 276 324 345 360 405 414 460 540 552 621 648 690 810 828 920 1035 1080 1242 1380 1620 1656 1863 2070 2484 2760 3105 3240 3726 4140 4968 6210 7452 8280 9315 12420 14904 18630 24840 37260 74520 5101093 10202186 15303279 20404372 25505465 30606558 40808744 45909837 51010930 61213116 76516395 91819674 102021860 117325139 122426232 137729511 153032790 183639348 204043720 229549185 234650278 275459022 306065580 351975417 367278696 413188533 459098370 469300556 550918044 586625695 612131160 688647555 703950834 826377066 918196740 938601112 1055926251 1101836088 1173251390 1377295110 1407901668 1652754132 1759877085 1836393480 2065942665 2111852502 2346502780 2754590220 2815803336 3167778753 3305508264 3519754170 4131885330 4223705004 4693005560 5279631255 5509180440 6335557506 7039508340 8263770660 8447410008 9503336259 10559262510 12671115012 14079016680 15838893765 16527541320 19006672518 21118525020 25342230024 31677787530 38013345036 42237050040 47516681295 63355575060 76026690072 95033362590 126711150120 190066725180 380133450360