Search a number
-
+
372502106912 = 251319212719531
BaseRepresentation
bin1010110101110101101…
…10110001001100100000
31022121111022102200001002
411122322312301030200
522100341014410122
6443043004531132
735624643444335
oct5327266611440
91277438380032
10372502106912
11133a82801321
126023a250aa8
13291857626a0
141405a19698c
159a527b4992
hex56badb1320

372502106912 has 144 divisors (see below), whose sum is σ = 840137260032. Its totient is φ = 161584657920.

The previous prime is 372502106891. The next prime is 372502106929. The reversal of 372502106912 is 219601205273.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 23 ways as a sum of consecutive naturals, for example, 19062587 + ... + 19082117.

It is an arithmetic number, because the mean of its divisors is an integer number (5834286528).

Almost surely, 2372502106912 is an apocalyptic number.

372502106912 is a gapful number since it is divisible by the number (32) 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 372502106912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420068630016).

372502106912 is an abundant number, since it is smaller than the sum of its proper divisors (467635153120).

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

372502106912 is a wasteful number, since it uses less digits than its factorization.

372502106912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19719 (or 19692 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 372502106912 in words is "three hundred seventy-two billion, five hundred two million, one hundred six thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 127 152 208 247 254 304 361 416 494 508 608 722 988 1016 1444 1651 1976 2032 2413 2888 3302 3952 4064 4693 4826 5776 6604 7904 9386 9652 11552 13208 18772 19304 19531 26416 31369 37544 38608 39062 45847 52832 62738 75088 77216 78124 91694 125476 150176 156248 183388 250952 253903 312496 366776 371089 501904 507806 596011 624992 733552 742178 1003808 1015612 1192022 1467104 1484356 2031224 2384044 2480437 2968712 4062448 4768088 4824157 4960874 5937424 7050691 8124896 9536176 9648314 9921748 11874848 14101382 19072352 19296628 19843496 28202764 32245681 38593256 39686992 47128303 56405528 64491362 77186512 79373984 91658983 94256606 112811056 128982724 154373024 183317966 188513212 225622112 257965448 366635932 377026424 515930896 612667939 733271864 754052848 895437757 1031861792 1225335878 1466543728 1508105696 1790875514 2450671756 2933087456 3581751028 4901343512 7163502056 9802687024 11640690841 14327004112 19605374048 23281381682 28654008224 46562763364 93125526728 186251053456 372502106912