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3936972351942 = 2327235857231947
BaseRepresentation
bin111001010010100101110…
…101101010100111000110
3111221101000101001102211200
4321102211311222213012
51004000404410230232
612212341540443330
7554302562561130
oct71224565524706
914841011042750
103936972351942
11128872a28a833
125370180a9546
13227341026726
14d879c728050
156c622a5177c
hex394a5d6a9c6

3936972351942 has 96 divisors (see below), whose sum is σ = 10174330363392. Its totient is φ = 1075754414592.

The previous prime is 3936972351931. The next prime is 3936972351947. The reversal of 3936972351942 is 2491532796393.

3936972351942 is a `hidden beast` number, since 3 + 9 + 3 + 6 + 9 + 72 + 3 + 519 + 42 = 666.

It is a super-2 number, since 2×39369723519422 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3936972351942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3936972351947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16857613 + ... + 17089559.

It is an arithmetic number, because the mean of its divisors is an integer number (105982607952).

Almost surely, 23936972351942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3936972351942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087165181696).

3936972351942 is an abundant number, since it is smaller than the sum of its proper divisors (6237358011450).

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

3936972351942 is a wasteful number, since it uses less digits than its factorization.

3936972351942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237842 (or 237839 counting only the distinct ones).

The product of its digits is 66134880, while the sum is 63.

The spelling of 3936972351942 in words is "three trillion, nine hundred thirty-six billion, nine hundred seventy-two million, three hundred fifty-one thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 5857 11714 17571 35142 40999 52713 81998 105426 122997 134711 231947 245994 269422 368991 404133 463894 695841 737982 808266 942977 1212399 1391682 1623629 1885954 2087523 2424798 2828931 3247258 4175046 4870887 5334781 5657862 8486793 9741774 10669562 14612661 16004343 16973586 29225322 32008686 37343467 48013029 74686934 96026058 112030401 224060802 336091203 672182406 1358513579 2717027158 4075540737 8151081474 9509595053 12226622211 19019190106 24453244422 28528785159 31245812317 57057570318 62491624634 85586355477 93737436951 171172710954 187474873902 218720686219 281212310853 437441372438 562424621706 656162058657 1312324117314 1968486175971 3936972351942