Search a number
-
+
151609974384 = 243111942135897
BaseRepresentation
bin1000110100110010101…
…0001001111001110000
3112111022221220200112110
42031030222021321300
54440444123140014
6153352035525320
713645015343061
oct2151452117160
9474287820473
10151609974384
115932a9727a0
1225471a59840
13113b1c9821b
1474a3520568
153e250edd59
hex234ca89e70

151609974384 has 160 divisors (see below), whose sum is σ = 450832930560. Its totient is φ = 43419801600.

The previous prime is 151609974367. The next prime is 151609974401. The reversal of 151609974384 is 483479906151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (151609974367) and next prime (151609974401).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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, 4205524 + ... + 4241420.

It is an arithmetic number, because the mean of its divisors is an integer number (2817705816).

Almost surely, 2151609974384 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 151609974384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225416465280).

151609974384 is an abundant number, since it is smaller than the sum of its proper divisors (299222956176).

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

151609974384 is a wasteful number, since it uses less digits than its factorization.

151609974384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36359 (or 36353 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 151609974384 in words is "one hundred fifty-one billion, six hundred nine million, nine hundred seventy-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 421 456 528 627 836 842 912 1254 1263 1672 1684 2508 2526 3344 3368 4631 5016 5052 6736 7999 9262 10032 10104 13893 15998 18524 20208 23997 27786 31996 35897 37048 47994 55572 63992 71794 74096 87989 95988 107691 111144 127984 143588 175978 191976 215382 222288 263967 287176 351956 383952 394867 430764 527934 574352 682043 703912 789734 861528 1055868 1184601 1364086 1407824 1579468 1723056 2046129 2111736 2369202 2728172 3158936 4092258 4223472 4738404 5456344 6317872 7502473 8184516 9476808 10912688 15004946 15112637 16369032 18953616 22507419 30009892 30225274 32738064 45014838 45337911 60019784 60450548 90029676 90675822 120039568 120901096 166239007 180059352 181351644 241802192 287140103 332478014 360118704 362703288 498717021 574280206 664956028 725406576 861420309 997434042 1148560412 1329912056 1722840618 1994868084 2297120824 2659824112 3158541133 3445681236 3989736168 4594241648 6317082266 6891362472 7979472336 9475623399 12634164532 13782724944 18951246798 25268329064 37902493596 50536658128 75804987192 151609974384