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153046213452 = 223311165777747
BaseRepresentation
bin1000111010001001000…
…0111110001101001100
3112122001001110012011000
42032202100332031030
510001414312312302
6154150343300300
714025425231016
oct2164220761514
9478031405130
10153046213452
11599a7663430
12257b2a4a690
13115806c4722
14759c1871b6
153eab25131c
hex23a243e34c

153046213452 has 96 divisors (see below), whose sum is σ = 433124778240. Its totient is φ = 46349055360.

The previous prime is 153046213447. The next prime is 153046213487. The reversal of 153046213452 is 254312640351.

153046213452 is a `hidden beast` number, since 1 + 5 + 304 + 6 + 2 + 1 + 345 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1929643 + ... + 2007389.

It is an arithmetic number, because the mean of its divisors is an integer number (4511716440).

Almost surely, 2153046213452 is an apocalyptic number.

153046213452 is a gapful number since it is divisible by the number (12) 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 153046213452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216562389120).

153046213452 is an abundant number, since it is smaller than the sum of its proper divisors (280078564788).

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

153046213452 is a wasteful number, since it uses less digits than its factorization.

153046213452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79428 (or 79420 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 153046213452 in words is "one hundred fifty-three billion, forty-six million, two hundred thirteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1657 3314 4971 6628 9942 14913 18227 19884 29826 36454 44739 54681 59652 72908 77747 89478 109362 155494 164043 178956 218724 233241 310988 328086 466482 492129 656172 699723 855217 932964 984258 1399446 1710434 1968516 2099169 2565651 2798892 3420868 4198338 5131302 7696953 8396676 10262604 15393906 23090859 30787812 46181718 92363436 128826779 257653558 386480337 515307116 772960674 1159441011 1417094569 1545921348 2318882022 2834189138 3478323033 4251283707 4637764044 5668378276 6956646066 8502567414 12753851121 13913292132 17005134828 25507702242 38261553363 51015404484 76523106726 153046213452