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920961254164 = 227219480151511
BaseRepresentation
bin11010110011011011001…
…00011000001100010100
310021001011101002010022011
431121231210120030110
5110042112040113124
61543030031514004
7123352164332500
oct15315544301424
93231141063264
10920961254164
11325639689346
1212a5a4088904
1368b00356193
1432809211300
1518e52873994
hexd66d918314

920961254164 has 72 divisors (see below), whose sum is σ = 1973937779520. Its totient is φ = 373838976000.

The previous prime is 920961254153. The next prime is 920961254167. The reversal of 920961254164 is 461452169029.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920961254167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17853169 + ... + 17904679.

Almost surely, 2920961254164 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 920961254164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986968889760).

920961254164 is an abundant number, since it is smaller than the sum of its proper divisors (1052976525356).

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

920961254164 is a wasteful number, since it uses less digits than its factorization.

920961254164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56349 (or 56340 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 920961254164 in words is "nine hundred twenty billion, nine hundred sixty-one million, two hundred fifty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 931 1862 3724 4801 9602 19204 33607 51511 67214 91219 103022 134428 182438 206044 235249 360577 364876 470498 638533 721154 940996 978709 1277066 1442308 1957418 2524039 2554132 3914836 4469731 5048078 6850963 8939462 10096156 13701926 17878924 27403852 47956741 95913482 191826964 247304311 494608622 989217244 1731130177 3462260354 4698781909 6924520708 9397563818 12117911239 18795127636 24235822478 32891473363 48471644956 65782946726 131565893452 230240313541 460480627082 920961254164