Search a number
-
+
152662071996 = 223276766113679
BaseRepresentation
bin1000111000101101011…
…1100101101010111100
3112121001021121210010200
42032023113211222330
510000122442300441
6154044302003500
714013052126050
oct2161327455274
9477037553120
10152662071996
115981a83a255
1225706276590
131151bc464a5
14756314dc60
153e876717b6
hex238b5e5abc

152662071996 has 144 divisors (see below), whose sum is σ = 448316144640. Its totient is φ = 42898584960.

The previous prime is 152662071983. The next prime is 152662072001. The reversal of 152662071996 is 699170266251.

152662071996 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 620 + 7 + 1 + 9 + 9 + 6 = 666.

It is a super-2 number, since 2×1526620719962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11153485 + ... + 11167163.

It is an arithmetic number, because the mean of its divisors is an integer number (3113306560).

Almost surely, 2152662071996 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 152662071996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224158072320).

152662071996 is an abundant number, since it is smaller than the sum of its proper divisors (295654072644).

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

152662071996 is a wasteful number, since it uses less digits than its factorization.

152662071996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14424 (or 14419 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 152662071996 in words is "one hundred fifty-two billion, six hundred sixty-two million, seventy-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 603 661 804 938 1206 1322 1407 1876 1983 2412 2644 2814 3966 4221 4627 5628 5949 7932 8442 9254 11898 13679 13881 16884 18508 23796 27358 27762 41037 41643 44287 54716 55524 82074 83286 88574 95753 123111 132861 164148 166572 177148 191506 246222 265722 287259 310009 383012 398583 492444 531444 574518 620018 797166 861777 916493 930027 1149036 1240036 1594332 1723554 1832986 1860054 2749479 2790081 3447108 3665972 3720108 5498958 5580162 6415451 8248437 9041819 10997916 11160324 12830902 16496874 18083638 19246353 25661804 27125457 32993748 36167276 38492706 54250914 57739059 63292733 76985412 81376371 108501828 115478118 126585466 162752742 189878199 230956236 253170932 325505484 379756398 569634597 605801873 759512796 1139269194 1211603746 1817405619 2278538388 2423207492 3634811238 4240613111 5452216857 7269622476 8481226222 10904433714 12721839333 16962452444 21808867428 25443678666 38165517999 50887357332 76331035998 152662071996