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151423022556 = 223213443743983
BaseRepresentation
bin1000110100000110000…
…0111111010111011100
3112110211221010112211200
42031001200333113130
54440103243210211
6153321320515500
713640255312031
oct2150140772734
9473757115750
10151423022556
1159244392053
122541b31bb90
131138232c040
147486777388
153e139c0b56
hex234183f5dc

151423022556 has 144 divisors (see below), whose sum is σ = 414114494976. Its totient is φ = 46376733312.

The previous prime is 151423022537. The next prime is 151423022579. The reversal of 151423022556 is 655220324151.

151423022556 is a `hidden beast` number, since 1 + 5 + 1 + 423 + 0 + 225 + 5 + 6 = 666.

151423022556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 151423022556.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 154041241 + ... + 154042223.

It is an arithmetic number, because the mean of its divisors is an integer number (2875795104).

Almost surely, 2151423022556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151423022556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207057247488).

151423022556 is an abundant number, since it is smaller than the sum of its proper divisors (262691472420).

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

151423022556 is a wasteful number, since it uses less digits than its factorization.

151423022556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 151423022556 in words is "one hundred fifty-one billion, four hundred twenty-three million, twenty-two thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 443 468 743 886 983 1329 1486 1772 1966 2229 2658 2949 2972 3932 3987 4458 5316 5759 5898 6687 7974 8847 8916 9659 11518 11796 12779 13374 15948 17277 17694 19318 23036 25558 26748 28977 34554 35388 38337 38636 51116 51831 57954 69108 76674 86931 103662 115011 115908 153348 173862 207324 230022 329149 347724 435469 460044 658298 730369 870938 987447 1306407 1316596 1460738 1741876 1974894 2191107 2612814 2921476 2962341 3919221 3949788 4278937 4382214 5225628 5661097 5924682 6573321 7838442 8557874 8764428 9494797 11322194 11849364 12836811 13146642 15676884 16983291 17115748 18989594 22644388 25673622 26293284 28484391 33966582 37979188 38510433 50949873 51347244 56968782 67933164 77020866 85453173 101899746 113937564 154041732 170906346 203799492 323553467 341812692 647106934 970660401 1294213868 1941320802 2911981203 3882641604 4206195071 5823962406 8412390142 11647924812 12618585213 16824780284 25237170426 37855755639 50474340852 75711511278 151423022556