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146622003868680 = 23353147838240543
BaseRepresentation
bin100001010101101000011000…
…011101001111010000001000
3201020010221000112210111021220
4201111220120131033100020
5123204223330442244210
61235501115123402040
742612042640326024
oct4125503035172010
9636127015714256
10146622003868680
114279a05183542a
12145403b0523320
1363a751b2a5822
14282c78582b384
1511e3e94e36c70
hex855a1874f408

146622003868680 has 128 divisors (see below), whose sum is σ = 454150223953920. Its totient is φ = 37830020970240.

The previous prime is 146622003868601. The next prime is 146622003868787. The reversal of 146622003868680 is 86868300226641.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13672489 + ... + 21913031.

It is an arithmetic number, because the mean of its divisors is an integer number (3548048624640).

Almost surely, 2146622003868680 is an apocalyptic number.

146622003868680 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 146622003868680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227075111976960).

146622003868680 is an abundant number, since it is smaller than the sum of its proper divisors (307528220085240).

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

146622003868680 is a wasteful number, since it uses less digits than its factorization.

146622003868680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8245371 (or 8245367 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 146622003868680 in words is "one hundred forty-six trillion, six hundred twenty-two billion, three million, eight hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 4783 9566 14349 19132 23915 28698 38264 47830 57396 71745 95660 114792 143490 148273 191320 286980 296546 444819 573960 593092 741365 889638 1186184 1482730 1779276 2224095 2965460 3558552 4448190 5930920 8240543 8896380 16481086 17792760 24721629 32962172 41202715 49443258 65924344 82405430 98886516 123608145 164810860 197773032 247216290 255456833 329621720 494432580 510913666 766370499 988865160 1021827332 1277284165 1532740998 2043654664 2554568330 3065481996 3831852495 5109136660 6130963992 7663704990 10218273320 15327409980 30654819960 39414517169 78829034338 118243551507 157658068676 197072585845 236487103014 315316137352 394145171690 472974206028 591217757535 788290343380 945948412056 1182435515070 1221850032239 1576580686760 2364871030140 2443700064478 3665550096717 4729742060280 4887400128956 6109250161195 7331100193434 9774800257912 12218500322390 14662200386868 18327750483585 24437000644780 29324400773736 36655500967170 48874001289560 73311001934340 146622003868680