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1026474551040 = 28352549104869
BaseRepresentation
bin11101110111111101010…
…01101010011100000000
310122010111202221222001110
432323332221222130000
5113304204441113130
62103320024003320
7134105665503021
oct16737651523400
93563452858043
101026474551040
1136636413aa44
12146b30300540
1375a47153963
143797858ac48
151ba7ab07ab0
hexeefea6a700

1026474551040 has 144 divisors (see below), whose sum is σ = 3279620484000. Its totient is φ = 273616551936.

The previous prime is 1026474551033. The next prime is 1026474551051. The reversal of 1026474551040 is 401554746201.

It is a self number, because there is not a number n which added to its sum of digits gives 1026474551040.

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, 9735726 + ... + 9840594.

It is an arithmetic number, because the mean of its divisors is an integer number (22775142250).

Almost surely, 21026474551040 is an apocalyptic number.

1026474551040 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 1026474551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639810242000).

1026474551040 is an abundant number, since it is smaller than the sum of its proper divisors (2253145932960).

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

1026474551040 is a wasteful number, since it uses less digits than its factorization.

1026474551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107442 (or 107428 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 1026474551040 in words is "one trillion, twenty-six billion, four hundred seventy-four million, five hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 2549 3840 5098 7647 10196 12745 15294 20392 25490 30588 38235 40784 50980 61176 76470 81568 101960 104869 122352 152940 163136 203920 209738 244704 305880 314607 326272 407840 419476 489408 524345 611760 629214 652544 815680 838952 978816 1048690 1223520 1258428 1573035 1631360 1677904 1957632 2097380 2447040 2516856 3146070 3262720 3355808 4194760 4894080 5033712 6292140 6711616 8389520 9788160 10067424 12584280 13423232 16779040 20134848 25168560 26846464 33558080 40269696 50337120 67116160 80539392 100674240 134232320 201348480 267311081 402696960 534622162 801933243 1069244324 1336555405 1603866486 2138488648 2673110810 3207732972 4009666215 4276977296 5346221620 6415465944 8019332430 8553954592 10692443240 12830931888 16038664860 17107909184 21384886480 25661863776 32077329720 34215818368 42769772960 51323727552 64154659440 68431636736 85539545920 102647455104 128309318880 171079091840 205294910208 256618637760 342158183680 513237275520 1026474551040