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146936700480 = 2635227674269
BaseRepresentation
bin1000100011011000011…
…1000001111001000000
3112001021021022202220210
42020312013001321000
54401411243403410
6151300215234120
713421141226603
oct2106607017100
9461237282823
10146936700480
1157351a33959
1224588978940
1310b18a341ab
14717c9cc33a
153c4ebd5220
hex22361c1e40

146936700480 has 112 divisors (see below), whose sum is σ = 468579890880. Its totient is φ = 39010449408.

The previous prime is 146936700451. The next prime is 146936700497. The reversal of 146936700480 is 84007639641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119215 + ... + 555054.

Almost surely, 2146936700480 is an apocalyptic number.

146936700480 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 146936700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234289945440).

146936700480 is an abundant number, since it is smaller than the sum of its proper divisors (321643190400).

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

146936700480 is a wasteful number, since it uses less digits than its factorization.

146936700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674516 (or 674506 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 146936700480 in words is "one hundred forty-six billion, nine hundred thirty-six million, seven hundred thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 227 240 320 454 480 681 908 960 1135 1362 1816 2270 2724 3405 3632 4540 5448 6810 7264 9080 10896 13620 14528 18160 21792 27240 36320 43584 54480 72640 108960 217920 674269 1348538 2022807 2697076 3371345 4045614 5394152 6742690 8091228 10114035 10788304 13485380 16182456 20228070 21576608 26970760 32364912 40456140 43153216 53941520 64729824 80912280 107883040 129459648 153059063 161824560 215766080 306118126 323649120 459177189 612236252 647298240 765295315 918354378 1224472504 1530590630 1836708756 2295885945 2448945008 3061181260 3673417512 4591771890 4897890016 6122362520 7346835024 9183543780 9795780032 12244725040 14693670048 18367087560 24489450080 29387340096 36734175120 48978900160 73468350240 146936700480