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70404429744 = 24331140136947
BaseRepresentation
bin100000110010001101…
…1100101011110110000
320201201121100121012000
41001210123211132300
52123142013222434
652202055134000
75041454531055
oct1014433453660
9221647317160
1070404429744
1127949513130
121178a374300
13684017a2ac
14359c61102c
151c70d9bb99
hex10646e57b0

70404429744 has 160 divisors (see below), whose sum is σ = 221014068480. Its totient is φ = 21280896000.

The previous prime is 70404429743. The next prime is 70404429761. The reversal of 70404429744 is 44792440407.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 70404429744.

It is not an unprimeable number, because it can be changed into a prime (70404429743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1887079 + ... + 1924025.

It is an arithmetic number, because the mean of its divisors is an integer number (1381337928).

Almost surely, 270404429744 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 70404429744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110507034240).

70404429744 is an abundant number, since it is smaller than the sum of its proper divisors (150609638736).

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

70404429744 is a wasteful number, since it uses less digits than its factorization.

70404429744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37376 (or 37364 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 70404429744 in words is "seventy billion, four hundred four million, four hundred twenty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 401 432 528 594 792 802 1188 1203 1584 1604 2376 2406 3208 3609 4411 4752 4812 6416 7218 8822 9624 10827 13233 14436 17644 19248 21654 26466 28872 35288 36947 39699 43308 52932 57744 70576 73894 79398 86616 105864 110841 119097 147788 158796 173232 211728 221682 238194 295576 317592 332523 406417 443364 476388 591152 635184 665046 812834 886728 952776 997569 1219251 1330092 1625668 1773456 1905552 1995138 2438502 2660184 3251336 3657753 3990276 4877004 5320368 6502672 7315506 7980552 9754008 10973259 14631012 14815747 15961104 19508016 21946518 29262024 29631494 43893036 44447241 58524048 59262988 87786072 88894482 118525976 133341723 162973217 175572144 177788964 237051952 266683446 325946434 355577928 400025169 488919651 533366892 651892868 711155856 800050338 977839302 1066733784 1303785736 1466758953 1600100676 1955678604 2133467568 2607571472 2933517906 3200201352 3911357208 4400276859 5867035812 6400402704 7822714416 8800553718 11734071624 17601107436 23468143248 35202214872 70404429744