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120926397583104 = 2831954715150221
BaseRepresentation
bin11011011111101101011110…
…111110001100111100000000
3120212011110011120021021120220
4123133231132332030330000
5111322224230240124404
61105104453052103040
734320433601544321
oct3337553676147400
9525143146237526
10120926397583104
1135592662988993
1211690419a64a80
135262405b32929
1421c0c24282448
15dea88e3bd4d9
hex6dfb5ef8cf00

120926397583104 has 144 divisors (see below), whose sum is σ = 339398909297280. Its totient is φ = 38117468712960.

The previous prime is 120926397583087. The next prime is 120926397583111. The reversal of 120926397583104 is 401385793629021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406714 + ... + 15556934.

It is an arithmetic number, because the mean of its divisors is an integer number (2356936870120).

It is a 1-persistent number, because it is pandigital, but 2⋅120926397583104 = 241852795166208 is not.

Almost surely, 2120926397583104 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 120926397583104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169699454648640).

120926397583104 is an abundant number, since it is smaller than the sum of its proper divisors (218472511714176).

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

120926397583104 is a wasteful number, since it uses less digits than its factorization.

120926397583104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15150806 (or 15150792 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 120926397583104 in words is "one hundred twenty trillion, nine hundred twenty-six billion, three hundred ninety-seven million, five hundred eighty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 547 608 768 912 1094 1216 1641 1824 2188 2432 3282 3648 4376 4864 6564 7296 8752 10393 13128 14592 17504 20786 26256 31179 35008 41572 52512 62358 70016 83144 105024 124716 140032 166288 210048 249432 332576 420096 498864 665152 997728 1330304 1995456 2660608 3990912 7981824 15150221 30300442 45450663 60600884 90901326 121201768 181802652 242403536 287854199 363605304 484807072 575708398 727210608 863562597 969614144 1151416796 1454421216 1727125194 1939228288 2302833592 2908842432 3454250388 3878456576 4605667184 5817684864 6908500776 8287170887 9211334368 11635369728 13817001552 16574341774 18422668736 24861512661 27634003104 33148683548 36845337472 49723025322 55268006208 66297367096 73690674944 99446050644 110536012416 132594734192 157456246853 198892101288 221072024832 265189468384 314912493706 397784202576 472368740559 530378936768 629824987412 795568405152 944737481118 1060757873536 1259649974824 1591136810304 1889474962236 2121515747072 2519299949648 3182273620608 3778949924472 5038599899296 6364547241216 7557899848944 10077199798592 15115799697888 20154399597184 30231599395776 40308799194368 60463198791552 120926397583104