Search a number
-
+
152572871440 = 245113722321013
BaseRepresentation
bin1000111000011000001…
…1010100001100010000
3112120211001202220222101
42032012003110030100
54444432123341230
6154031354050144
714010620003113
oct2160603241420
9476731686871
10152572871440
1159784454590
12256a0419954
13115066143b2
14755537057a
153e7e901aca
hex23860d4310

152572871440 has 160 divisors (see below), whose sum is σ = 399240446976. Its totient is φ = 53736929280.

The previous prime is 152572871377. The next prime is 152572871443. The reversal of 152572871440 is 44178275251.

It is not an unprimeable number, because it can be changed into a prime (152572871443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7250374 + ... + 7271386.

Almost surely, 2152572871440 is an apocalyptic number.

152572871440 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 152572871440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199620223488).

152572871440 is an abundant number, since it is smaller than the sum of its proper divisors (246667575536).

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

152572871440 is a wasteful number, since it uses less digits than its factorization.

152572871440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21297 (or 21291 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 46.

The spelling of 152572871440 in words is "one hundred fifty-two billion, five hundred seventy-two million, eight hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 223 296 370 407 440 446 592 740 814 880 892 1115 1480 1628 1784 2035 2230 2453 2960 3256 3568 4070 4460 4906 6512 8140 8251 8920 9812 12265 16280 16502 17840 19624 21013 24530 32560 33004 39248 41255 42026 49060 66008 82510 84052 90761 98120 105065 132016 165020 168104 181522 196240 210130 231143 330040 336208 363044 420260 453805 462286 660080 726088 777481 840520 907610 924572 1155715 1452176 1554962 1681040 1815220 1849144 2311430 3109924 3630440 3698288 3887405 4622860 4685899 6219848 7260880 7774810 8552291 9245720 9371798 12439696 15549620 17104582 18491440 18743596 23429495 31099240 34209164 37487192 42761455 46858990 51544889 62198480 68418328 74974384 85522910 93717980 103089778 136836656 171045820 173378263 187435960 206179556 257724445 342091640 346756526 374871920 412359112 515448890 684183280 693513052 824718224 866891315 1030897780 1387026104 1733782630 1907160893 2061795560 2774052208 3467565260 3814321786 4123591120 6935130520 7628643572 9535804465 13870261040 15257287144 19071608930 30514574288 38143217860 76286435720 152572871440